3. Determine the derivative of each of the following AND simplify FULLY! a. f(x)=. 2x³-1 x² 2 b. y=(7x²+4x+1)³ 3 d. f(x) = x² f(x) = x²² 3 y= (x-2)³ (x²+9)* C. y=(x*)2* f. y = (sin 2x)e³x

When applying derivative rules, we sometimes need to rewrite our function. In this problem, you are not computing derivatives. You are only reviewing the skills necessary to rewrite the expression in an equivalent form. (a) Which is equivalent to 1 10 10x-3 -3 X (c) Which is equivalent to 10x + 3x 1 1 10x3 (b) Which is equivalent to ¹x10 ? O x11/10 O x10/11 O 10x + 3 ? 10x² + 3? X (d) Which is equivalent to √x(x-10√x)? O x3/2 - 10x O x3/2 - 10x1/2

4 1. Use the product rule to find the derivative of y=(5x²-4)** (2x²+7)³³ NOT Simplify after differentiating. 2. Use the quotient rule to find the derivative of g(t) Simplify after differentiating. as it is written. Do t² +2t as it is written. Do NOT 3 (1-3t² )'