Here is the list of mathematics exercises on the main numerical functions. Each corrected exercise is accompanied by indications, reminders of the course, and methodological advice, which allows you to practice independently.
Exercise example :
Calculate the following expression `sqrt(939)^2`.
1414 functions | square roots 9th Grade simplify_surdExercise example :
Find x such that `x^2`=9.
1415 square roots | solving equations | equations | functions 9th Grade equation_solverExercise example :
Put under the same radical the following expression `sqrt(35)*sqrt(31)`.
1416 square roots | functions 9th Grade simplify_surdExercise example :
Put under the same radical the following expression `sqrt(16)/sqrt(25)`.
1417 square roots | functions 9th Grade simplify_surdExercise example :
Write in the form `a*sqrt(b)`, the following expression `sqrt(480)`, where a and b represent two integers.
1418 square roots | order, absolute value, inequations | numbers and equations | functions 9th Grade | 10th Grade simplify_surdExercise example :
Write in the form `a*sqrt(b)`, the following expression `sqrt(140)/sqrt(20)`, where a and b represent two integers.
1419 square roots | functions 9th Grade simplify_surdExercise example :
Let f be the application of R in R defined by f(x)=`2*(3*x+1)^2-6*(2*x+3)^2` :
Compute f(2).
Exercise example :
Specify if the function `f:x->7-3*x^2` is even, odd, neither even nor odd.
1505 square and inverse functions | functions 10th Grade is_odd_or_even_functionExercise example :
With the help of the graphical representation of the function shown below in an orthogonal reference, indicate if the function is even, odd, neither even nor odd.
1506 square and inverse functions | functions 10th Grade is_odd_or_even_functionExercise example :
To which type of curve corresponds the following plot ?
1507 square and inverse functions | functions 10th GradeExercise example :
Convert to degrees `pi/3` radians.
1509 sine and cosine functions | functions 10th GradeExercise example :
The angles are expressed in radians. Give the exact value of the following expression `pi/3`
1510 sine and cosine functions | functions 10th Grade simplify_trigExercise example :
Calculate the absolute value of `C=8+9`.
1511 order, absolute value, inequations | functions | Numbers 10th Grade absExercise example :
Calculate the absolute value of `F=2/3-3/7`.
1512 order, absolute value, inequations | functions | Numbers 10th Grade absExercise example :
Solve the following equation `|x-4|=2`.
1513 order, absolute value, inequations | equations | functions 10th Grade equation_solverExercise example :
Solve the following equation `|x+9/2|=9/4`.
1514 order, absolute value, inequations | equations | functions 10th Grade equation_solverExercise example :
Calculate the derivative number of the function f(x) = `2+2*x^2` at point a = -2
1604 derivatives of functions | functions 11th Grade derivativeExercise example :
Let f be the function defined by f(x)= `-x-2*x^2+x^3` , calculate the derivative of f, `f'(x)`.
1605 derivatives of functions | functions 11th Grade derivativeExercise example :
Let f be the function defined by f(x)= `2*sqrt(x)` , calculate the derivative of f, `f'(x)`.
1606 derivatives of functions | functions 11th Grade derivativeExercise example :
Let f be the function defined by f(x)= `1/(3*x^2)` , calculate the derivative of f, `f'(x)`.
1607 derivatives of functions | functions 11th Grade derivativeExercise example :
Let f be the function defined by f(x)= `1/(4-2*x+x^2)` , calculate the derivative of f, `f'(x)`.
1608 derivatives of functions | functions 11th Grade derivativeExercise example :
Let f be the function defined by f(x)= `-3-3*x+2*x^2+x^3-5*sqrt(x)` , calculate the derivative of f, `f'(x)`.
1609 derivatives of functions | functions 11th Grade derivativeExercise example :
Let f be the function defined by f(x)= `sqrt(3*x)` , calculate the derivative of f, `f'(x)`.
1610 derivatives of functions | functions 11th Grade derivativeExercise example :
Let f be the function defined by f(x)= `(4+2*x)/(1-4*x)` , calculate the derivative of f, `f'(x)`.
1611 derivatives of functions | functions 11th Grade derivativeExercise example :
Let f be the function defined by f(x)= `4*sqrt(x)*(1+2*x)` , calculate the derivative of f, `f'(x)`.
1612 derivatives of functions | functions 11th Grade derivativeExercise example :
Exercise example :
Express ln(25) as a function of ln(5) .
1709 neperian logarithm | functions 12th GradeExercise example :
Express `ln(1/27)` as a function of ln(3)
1710 neperian logarithm | functions 12th GradeExercise example :
Express `-3/8*ln(1/(27))` as a function of ln(3)
1711 neperian logarithm | functions 12th GradeExercise example :
Express `-5/8*ln(sqrt(2))` as a function of ln(2)
1712 neperian logarithm | functions 12th GradeExercise example :
Compute an antiderivative of the function `f(x)=7/(9+7*x)` on `RR^+` .
1713 neperian logarithm | antiderivatives | functions 12th Grade antiderivativeExercise example :
Compute an antiderivative of the function `f(x)=(8*x)/(1+4*x^2)` on `RR^+` .
1714 neperian logarithm | antiderivatives | functions 12th Grade antiderivativeExercise example :
Calculate the derivative of the function `ln(x)^5`.
1715 neperian logarithm | derivatives of functions | functions 12th Grade derivativeExercise example :
Calculate the derivative of the function `ln(9+9*x^2)`.
1716 neperian logarithm | derivatives of functions | functions 12th Grade derivativeExercise example :
Simplify the following expression `e^ln(3)+e^ln(4)`.
1717 exponential | functions 12th Grade calculatorExercise example :
Simplify the following expression `e^ln(8)/e^ln(4)`.
1718 exponential | functions 12th Grade calculatorExercise example :
Simplify the following expression `e^(ln(8)*ln(4))`.
1719 exponential | functions 12th GradeExercise example :
Calculate the derivative of the function `e^(3+5*x^2)`.
1731 exponential | derivatives of functions | functions 12th Grade derivativeExercise example :
Let f be the function defined by f(x)= `3-2*x^2+x^3` ,compute an antiderivative of f, `F(x)`, with F(x)=0.
1740 antiderivatives | functions 12th Grade integralExercise example :
Put `8+sqrt(20)` in the form `a+b*sqrt(5)`, where a and b are two natural numbers.
14111 square roots | functions 9th Grade simplify_surdExercise example :
Write C in the form `a*sqrt(b)` where a is a relative integer and b a natural number: C=`1*sqrt(8)-2*sqrt(18)-1*sqrt(32)-2*sqrt(2)`
14112 square roots | functions 9th Grade simplify_surdThe functions topic is available for : 9th Grade, 10th Grade, 11th Grade, 12th Grade
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