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))

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

y = \frac{1}{3} - 6

co sin (o)

\frac{\partial}{\partial x} (ln (x + 6 y + 4 z))

(s^{5} - 9)^{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))