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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

\frac{d}{d x} (\frac{a x}{b})

\int \frac{1}{( 4 - x ^{2} ) ^{3}} d x

y - 1 + x y^{^{'}} = 4 x

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