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Popular >

derivative of sin(x^2cos(x))

Solution

\frac{d}{d x} (sin (x^{2} cos (x)))

Solution

cos (x^{2} cos (x)) (2 x cos (x) - x^{2} sin (x))

Solution steps

\frac{d}{d x} (sin (x^{2} cos (x)))

Apply the chain rule:

cos (x^{2} cos (x)) \frac{d}{d x} (x^{2} cos (x))

= cos (x^{2} cos (x)) \frac{d}{d x} (x^{2} cos (x))

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

= cos (x^{2} cos (x)) (2 x cos (x) - x^{2} sin (x))

Popular Examples

derivative of cot^2(3-2x)

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

integral of 3/2 e^{3/2 x}

\int \frac{3}{2} e^{\frac{3}{2} x} d x

derivative of f(x)=9-x^2 derivative of

f (x) = 9 - x^{2}

derivative of e^3ln(e^3)derivative of

e^{3} ln (e^{3})

integral from-3 to 2 of ((6-x)-(x^2))

\int_{- 3}^{2} ((6 - x) - (x^{2})) d x

Frequently Asked Questions (FAQ)

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