What is the derivative of (cos(x+2)^3) ?

The derivative of (cos(x+2)^3) is -3sin(x)(cos(x)+2)^2

What is the first derivative of (cos(x+2)^3) ?

The first derivative of (cos(x+2)^3) is -3sin(x)(cos(x)+2)^2

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

- 3 sin (x) (cos (x) + 2)^{2}

Solution steps

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

Apply the chain rule:

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

= 3 (cos (x) + 2)^{2} \frac{d}{d x} (cos (x) + 2)

\frac{d}{d x} (cos (x) + 2) = - sin (x)

= 3 (cos (x) + 2)^{2} (- sin (x))

Simplify

= - 3 sin (x) (cos (x) + 2)^{2}

\int \frac{4 x}{( x ^{2} + 6 ) ^{2}} d x

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

\frac{d}{d x} (- \frac{2}{9 x ^{\frac{5}{3}}})

\int 2 x^{2} + 1 d x

\int_{0}^{\frac{π}{2}} 30 cos^{5} (x) d x

What is the derivative of (cos(x+2)^3) ?
The derivative of (cos(x+2)^3) is -3sin(x)(cos(x)+2)^2
What is the first derivative of (cos(x+2)^3) ?
The first derivative of (cos(x+2)^3) is -3sin(x)(cos(x)+2)^2