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Popular >

derivative of sin^3(x)+cos^2(x)

Solution

derivative of

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

Solution

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

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

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

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

Graph

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derivative of (x^2+x)^x derivative of

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d/(d{x)}(ln(sqrt({x)^2+{y}^2}){f}(x,y))

\frac{d}{d x} (ln (x^{2} + y^{2}) f (x, y))

Frequently Asked Questions (FAQ)

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