What is the derivative of sin(xcos(x)) ?

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

What is the first derivative of sin(xcos(x)) ?

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

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derivative of

sin (x cos (x))

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

Solution steps

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

Apply the chain rule:

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

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

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

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

\frac{d}{d x} (x^{2} e^{6 x})

\int_{3}^{7} k^{2} + 2 k - 1

\frac{d}{d x} (- 5 e^{4 x})

\int cos (\frac{6}{2} t) d t

\frac{3}{s ( s ^{2} + 2 s + 5 )}

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