Question Type 1: Finding the derivative of a polynomial with different ranges of integers Exercises

Find the derivative of the function $f(x)=5x^3+8x^2+9x+3$.

Compute the derivative of $f(x)=2x^3-9x^2+4x-7$.

Differentiate $f(x)=-4x^4+7x^3-x+5$.

Let $f(x)=2x^3-3x^2+4x+1$. Find $f'(x)$.

Find $f'(x)$ if $f(x)=6x^5-3x^2+12$.

For $f(x)=4x^3-5x^2+6x-2$, find $f'(x)$ and $f''(x)$.

Given $f(x)=7x^4-x^3+2x^2-5x+11$, find $f'(2)$.

Find the equation of the tangent to $y=3x^3-x+2$ at $x=1$.

Compute the second derivative of $f(x)=x^5-5x^3+4x$.

Find all $x$ such that the gradient of $y=-2x^5+3x^4-x^2+x-4$ is zero.

Determine the stationary points of $f(x)=x^4-4x^3+6x^2$.

Find the inflection point(s) of $y=x^3-6x^2+9x$.