Question 3: Find the first and second derivatives.

$$ y=\frac{8x^5}{5}-5x+9e^x $$


Question 5: Find the first and second derivatives.

$$ r=\frac{1}{3s^2}-\frac{8}{5s^4} $$


Question 6: Find $y’$ by (a) applying the Product Rule and (b) multiplying the factors to produce a sum of simpler terms to differentiate.

$$ y=(7-x^2)(x^3-5x+3) $$


Question 8: Find the derivative of the function.

$$ y=4e^{-x}+e^{3x} $$


Question 9: Find the derivative of the function.

$$ y=x^4e^x $$