What is the derivative of sin(cos(2x-5)) ?

The derivative of sin(cos(2x-5)) is -2cos(cos(2x-5))sin(2x-5)

What is the first derivative of sin(cos(2x-5)) ?

The first derivative of sin(cos(2x-5)) is -2cos(cos(2x-5))sin(2x-5)

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\frac{d}{d x} (sin (cos (2 x - 5)))

- 2 cos (cos (2 x - 5)) sin (2 x - 5)

Solution steps

\frac{d}{d x} (sin (cos (2 x - 5)))

Apply the chain rule:

cos (cos (2 x - 5)) \frac{d}{d x} (cos (2 x - 5))

= cos (cos (2 x - 5)) \frac{d}{d x} (cos (2 x - 5))

\frac{d}{d x} (cos (2 x - 5)) = - sin (2 x - 5) \cdot 2

= cos (cos (2 x - 5)) (- sin (2 x - 5) \cdot 2)

Simplify

= - 2 cos (cos (2 x - 5)) sin (2 x - 5)

\int \frac{x arcsin ( x )}{1 - x ^{2}} d x

\int x^{i} d x

\int \frac{( x + 2 )}{x + 1} d x

x \to 1 lim (\frac{x - 1}{x ^{2} + 1})

\int 6 x + 3 d x

What is the derivative of sin(cos(2x-5)) ?
The derivative of sin(cos(2x-5)) is -2cos(cos(2x-5))sin(2x-5)
What is the first derivative of sin(cos(2x-5)) ?
The first derivative of sin(cos(2x-5)) is -2cos(cos(2x-5))sin(2x-5)