Here is the list of free online math exercises for he 11th Grade, junior year, year 12. Each corrected exercise is accompanied by indications, reminders of course, methodological advice which allows to practice independently.
Exercise example :
Compute the discriminant of the following polynomial: `2*x^2+4*x`.
1601 second degree polynomials | solving equations 11th Grade discriminantExercise example :
How many solutions does the following equation have: `2*x^2-x` ?
1602 equations | second degree polynomials | solving equations 11th Grade discriminantExercise example :
Give the roots of the following equation `4*x^2+x-2`
1603 equations | second degree polynomials | solving equations 11th 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 :
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Let the sequence (`u_(n)`) defined by `u_(n)` = `(2+n)/(2+5*n)`.
Express as a function of n the terms of `u_(n+3)`.
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Let the sequence (`u_(n)`) defined by `u_(n)` = `-3-3*n`.
Express as a function of n the terms of `u_(n+1)`.
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Let the sequence (`u_(n)`) be defined for any natural number n by `u_(0)= 3 ` and `u_(n+1)` = `-3+u_(n)`.
Is this sequence increasing or decreasing?
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Let the sequence (`u_(n)`) be defined for any natural number n by `u_(0)= 4 ` and `u_(n+1)` = `u_(n)/5`.
Is this sequence increasing or decreasing?
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Let the sequence (`u_(n)`) defined for any natural number n by `u_(0)= -3 ` and `u_(n+1)` = `-7+u_(n)`.
1. Is (`u_(n)`) an arithmetic or a geometric sequence ?
2. What is the reason of (`u_(n)`)
3. Give the expression of `u_(n)` as a function of n.
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Let the sequence (`u_(n)`) defined for any natural number n by `u_(0)= -1 ` and `u_(n+1)` = `-9*u_(n)`.
1. Is (`u_(n)`) an arithmetic or a geometric sequence?
2. What is the reason of (`u_(n)`).
3. Give the expression of `u_(n)` as a function of n.
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Let (`u_(n)`) be an arithmetic sequence of common difference -6, and of first term `u_(0)= 1 `.
1. Give the expression of `u_(n)` as a function of n.
2. Compute `u_(3)`
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Compute the roots of P(x) =`-4+8*x+3*x^2-x^3`.
1634 polynomial functions | algebraic calculus 11th Grade | 12th Grade equation_solverThemes associated with the 11th Grade : algebraic calculus, derivatives of functions, functions, polynomial functions, second degree polynomials, solving equations, numerical sequences.
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