Trig Derivatives

.

• (3x^2-2)cos(x^3-2x)
• -(3x^2-2)cos(x^3-2x)
• cos(2x^2-2)
• sin(2x^2-2)

Find the derivative of f(x) = x²sinx

• f'(x) = 2xsinx - x²cosx
• f'(x) = 2xsinx + x²sinx
• f'(x) = 2xsinx + x²cosx
• f'(x) = 2xcosx

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

What is the derivative?

• A
• B
• C
• D

What is the derivative of sin(x)?

• sin(x)
• cos(x)
• -sin(x)
• -cos(x)

What is the derivative of cos(x)?

• sin(x)
• cos(x)
• -sin(x)
• -cos(x)

What is the derivative of sec(x)?

• sec(x)tan(x)
• csc(x)cot(x)
• -sec(x)tan(x)
• -csc(x)cot(x)

Find the derivative.

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

Find the equation of the tangent line at the given point.

• y+1=3(x+1)
• y+1=⅓(x+1)
• y-1=3(x+1)
• y=3x-1

Tags

CCSS.HSA.CED.A.2

CCSS.HSG.GPE.B.5

d/dx (sin²x) = ?

• 2sin x
• 2(sin x)(cos x)
• 2cos x
• 2x(cos x)