Unit 4 - Day 18 Homework

• secx tanx
• sec²x
• cscx cotx
• -cscx cotx

Tags

CCSS.HSF.TF.C.8

Find the derivative.

• x⁴ cosx - 4x³sinx
• x⁴ cosx + 4x³sinx
• 4x³cosx
• -4x³cosx

Tags

CCSS.HSA.APR.A.1

What is f'(x) if f(x) = cos(5x⁴)?

• f'(x) = sin(20x³)
• f'(x) = 20x³ sin(5x⁴)
• f'(x) = -sin(20x³)
• f'(x) = -20x³ sin(5x⁴)

Find y' if y = tan(3x²+2).

• sec²(3x²+2)
• 6xsec²(3x²+2)
• 6xsec²x(3x²+2)
• sec²(6x)

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.IF.A.2

.

• (3x²-2)cos(x³-2x)

• -(3x²-2)cos(x³-2x)

• cos(2x²-2)

• sin(2x²-2)

Find the derivative f(x) = tanxcosx

• f'(x) = sec²xcosx - tanxsinx
• f'(x) = sec²xcosx + tanxsinx
• f'(x) = sec²xsinx
• f'(x) = sec²xcosx - tanxcosx

Tags

CCSS.HSF.IF.C.8

• sinx
• -sinx
• -cscx cotx
• sec²x

Tags

CCSS.HSF.TF.C.8

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

CCSS.HSF.TF.A.4

Find: f'(x) =

• 9x^-1/3

• -3x^-4/3

• -9x^2/3

• -3x^2/3

Find the derivative f(x) = xe^x

• f'(x) = e^x

• f'(x) = xe^x + xe^x

• f'(x) = e^x - xe^x

• f'(x) = e^x + xe^x

 $Differentiate\ \frac{e^x}{\sin x}$  

•  $\frac{e^x\left(\sin x-\cos x\right)}{\sin^2x}$  

•  $\frac{e^x\left(\sin x+\cos x\right)}{\sin^2x}$  

•  $\frac{e^x\left(\cos x\ -\sin x\right)}{\sin^2x}$  

•  $\frac{e^x\left(\sin x-\cos x\right)}{\cos^2x}$