What is the derivative of cos(xsin(x)) ?

The derivative of cos(xsin(x)) is -sin(xsin(x))(sin(x)+xcos(x))

What is the first derivative of cos(xsin(x)) ?

The first derivative of cos(xsin(x)) is -sin(xsin(x))(sin(x)+xcos(x))

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derivative of

cos (x sin (x))

- sin (x sin (x)) (sin (x) + x cos (x))

Solution steps

\frac{d}{d x} (cos (x sin (x)))

Apply the chain rule:

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

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

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

= - sin (x sin (x)) (sin (x) + x cos (x))

\frac{d}{d x} (\frac{- 6 x}{1 - x})

\frac{s + 4}{s ^{2} + 6 s + 18}

\int a x^{5} d x

y = x^{2}, y = 8 - x^{2}, y = 4 x + 11

x \to 3 lim ((x - 2)^{2})

What is the derivative of cos(xsin(x)) ?
The derivative of cos(xsin(x)) is -sin(xsin(x))(sin(x)+xcos(x))
What is the first derivative of cos(xsin(x)) ?
The first derivative of cos(xsin(x)) is -sin(xsin(x))(sin(x)+xcos(x))