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Popular >

derivative of cos^3(x)+sin^4(x)

Solution

derivative of

cos^{3} (x) + sin^{4} (x)

Solution

- 3 cos^{2} (x) sin (x) + 4 sin^{3} (x) cos (x)

Solution steps

\frac{d}{d x} (cos^{3} (x) + sin^{4} (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (cos^{3} (x)) + \frac{d}{d x} (sin^{4} (x))

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

\frac{d}{d x} (sin^{4} (x)) = 4 sin^{3} (x) cos (x)

= - 3 cos^{2} (x) sin (x) + 4 sin^{3} (x) cos (x)

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of cos^3(x)+sin^4(x) ?
The derivative of cos^3(x)+sin^4(x) is -3cos^2(x)sin(x)+4sin^3(x)cos(x)
What is the first derivative of cos^3(x)+sin^4(x) ?
The first derivative of cos^3(x)+sin^4(x) is -3cos^2(x)sin(x)+4sin^3(x)cos(x)