Calculus 1: Product and Quotient Rule

Use the product rule to find the derivative of

$f(x) = (x^3 + 5x)(2x^2)$

Find the derivative of $f(x) = \sin{x}(x^2 + 5)$

Use the product rule to find the derivative of $y = 5x(x^2 - 2)$

Use the product rule to find the derivative of $y = (3x^2 + 2x) (2x^4 - 5)$

Find the first derivative of $y = 2x \sin({x^2})$

Find the derivative of $2^{3x} \cdot 5^{4x^2}$

Use the quotient rule to find the derivative of the following funciton,

$f(x) = \frac{x - 1}{x^2 + 2x + 1}$

Find $f\prime(x)$

$f(x) = \frac{5x^2 - 1}{2x^3 + 3}$

Given $f(x)$, find the equation of the tangent line at the point $(-1, -2)$

$f(x) = \frac{4x}{(1 + x^2)}$

Use the quotient rule to find the derivative of $y = \frac{5x}{6x^2 + 2x}$