Calculus Quarter 2 Review

Find y' if y=sin(6x⁴)

• cos(6x⁴)

• 24x³sin(6x⁴)

• 24x³cos(6x⁴)

• -24x³cos(6x⁴)

Find dy/dx if  $y=\frac{1}{2}\tan^5x$  

•  $\frac{5}{2}\sec^2x$  

•  $\frac{5}{2}\tan^4x\sec^2x$  

•  $\frac{5}{2}\tan^4x$  

• 2

Find the derivative of  $f\left(x\right)=\frac{5}{7}\sec^2x$  

•  $\frac{10}{7}\sec^2x\cdot\tan x$  

•  $\frac{10}{7}\sec x\tan x$  

•  $\frac{5}{7}\sec x\tan x$  

•  $\frac{5}{7}\sec^2x\tan x$  

Find f'(x) if f(x) = -4x³ - 5cosx

• -12x - 5sinx

• -12x² + 5cosx

• -12x² + 5sinx

• 28x + 5tanx

Find the derivative of y = 2xe^x

• 2xe^x + 2e^x

• 2xe^x

• 2 + e^x

• 2x²e^x

Find y' if  $y=\ln\left(4x+1\right)$  

• 4

• 4ln(4x+1)

•  $\frac{4}{\ln\left(4x+1\right)}$  

•  $\frac{4}{4x+1}$  

Find dy/dx if y = sin²(99x)+cos²(99x)

• 1

• 0

• 99

• 99sinx + 99cosx

Find f'(x) if f(x) = e^18x

• e^18x

• 18e^18x

• 18

• 18x

Find y' if y=ln(e^x)

• e^x

• 1

• x

• $\frac{1}{x}$

Find the slope of y = ln(x³) at (1,0)

• 1

• 2

• 3

• 4