Derivatives Trig

Tags

CCSS.HSF-BF.B.4A

d/dx (sin²x) = ?

• 2sin x

• 2(sin x)(cos x)

• 2cos x

• 2x(cos x)

Find the derivative of the function:
f(x) = (7/5) sin² 2x

• f '(x) = -(28 sin 2x cos 2x)/5

• f '(x) = (28 cos 2x)/5

• f '(x) = (28 sin 2x cos 2x)/5

• f '(x) = (7sin 2x cos 2x) /5

d/dx (sin³(4x^-6)) = ?

• -24x^-5 ⋅ cos (4x^-6) ⋅ 3sin²(4x^-6)

• -24x^-7 ⋅ cos (4x^-6) ⋅ 3sin²(4x^-6)

• -24x^-7 ⋅ 3cos²(4x^-6)

• 3cos²(-24x^-5)

Find the derivative.

• x⁴ cosx - 4x³sinx

• x⁴ cosx + 4x³sinx

• 4x³cosx

• -4x³cosx