Calculus

Derivatives

Derivatives of Polynomials

         

If f(x)=x4 f(x) = x^ {4} , what is the value of f(1) f'(1) ?

If f(x)=x32x2+3x+15 f(x) = x^3 - 2x^2 + 3x +15 what is f(14) f'(14) ?

f(x)f(x) is a quadratic function of the form f(x)=ax2+bx+cf(x) = ax^2 + bx + c, satisfying f(5)=94f(5) = 94 and f(x)=6x+3f’(x) = 6x + 3, what is the value of a+b+ca+b+c?

Details and assumptions

f(x)f’(x) denotes the derivative of f(x)f(x).

If f(x)=4x212x+21f(x)=4x^2-12x+21, what is the value of f(14)f'(14)?

If f(x)=x34x2+6x+18,f(x)=x^3-4x^2+6x+18, what is f(x)?f'(x)?

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