What is the derivative of cos^4(θ+9) ?

The derivative of cos^4(θ+9) is -4cos^3(θ+9)sin(θ+9)

What is the first derivative of cos^4(θ+9) ?

The first derivative of cos^4(θ+9) is -4cos^3(θ+9)sin(θ+9)

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derivative of

cos^{4} (θ + 9)

- 4 cos^{3} (θ + 9) sin (θ + 9)

Solution steps

\frac{d}{d θ} (cos^{4} (θ + 9))

Apply the chain rule:

4 (cos (θ + 9))^{3} \frac{d}{d θ} (cos (θ + 9))

= 4 (cos (θ + 9))^{3} \frac{d}{d θ} (cos (θ + 9))

\frac{d}{d θ} (cos (θ + 9)) = - sin (θ + 9)

= 4 (cos (θ + 9))^{3} (- sin (θ + 9))

Simplify

= - 4 cos^{3} (θ + 9) sin (θ + 9)

y = x^{4} + 4 e^{x}, (0, 4)

\frac{d}{d x} ((\frac{1 - 2 x}{1 + x})^{3})

\frac{d}{d x} (\frac{4 x}{7 - tan ( x )})

\int_{0}^{5} \frac{1}{x ^{\frac{17}{16}}} d x

[tan (x^{\frac{2}{3}})]^{3}

What is the derivative of cos^4(θ+9) ?
The derivative of cos^4(θ+9) is -4cos^3(θ+9)sin(θ+9)
What is the first derivative of cos^4(θ+9) ?
The first derivative of cos^4(θ+9) is -4cos^3(θ+9)sin(θ+9)