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Popular >

derivative of y=(x^2+sin(x))^3

Solution

derivative of

y = (x^{2} + sin (x))^{3}

Solution

3 (x^{2} + sin (x))^{2} (2 x + cos (x))

Solution steps

\frac{d}{d x} ((x^{2} + sin (x))^{3})

Apply the chain rule:

3 (x^{2} + sin (x))^{2} \frac{d}{d x} (x^{2} + sin (x))

= 3 (x^{2} + sin (x))^{2} \frac{d}{d x} (x^{2} + sin (x))

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

= 3 (x^{2} + sin (x))^{2} (2 x + cos (x))

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\int_{- 1}^{3} \frac{1}{5} x^{3} d x

tangent of f(x)=3arcsin(x),\at x= 1/2 tangent of

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\frac{d}{d x} (a csc (2) (k x))

Frequently Asked Questions (FAQ)

What is the derivative of y=(x^2+sin(x))^3 ?
The derivative of y=(x^2+sin(x))^3 is 3(x^2+sin(x))^2(2x+cos(x))
What is the first derivative of y=(x^2+sin(x))^3 ?
The first derivative of y=(x^2+sin(x))^3 is 3(x^2+sin(x))^2(2x+cos(x))