What is the derivative of (x+sin(x)^5) ?

The derivative of (x+sin(x)^5) is 5(x+sin(x))^4(1+cos(x))

What is the first derivative of (x+sin(x)^5) ?

The first derivative of (x+sin(x)^5) is 5(x+sin(x))^4(1+cos(x))

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\frac{d}{d x} ((x + sin (x))^{5})

5 (x + sin (x))^{4} (1 + cos (x))

Solution steps

\frac{d}{d x} ((x + sin (x))^{5})

Apply the chain rule:

5 (x + sin (x))^{4} \frac{d}{d x} (x + sin (x))

= 5 (x + sin (x))^{4} \frac{d}{d x} (x + sin (x))

\frac{d}{d x} (x + sin (x)) = 1 + cos (x)

= 5 (x + sin (x))^{4} (1 + cos (x))

3 tan (x), at x = \frac{π}{3}

\frac{d}{d θ} (2 sin (θ) + 2 cos (θ))

(9.5) (21.1)

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

\frac{d}{d x} (\frac{- sin ( x )}{2})

What is the derivative of (x+sin(x)^5) ?
The derivative of (x+sin(x)^5) is 5(x+sin(x))^4(1+cos(x))
What is the first derivative of (x+sin(x)^5) ?
The first derivative of (x+sin(x)^5) is 5(x+sin(x))^4(1+cos(x))