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Popular >

derivative of tan^2(x)-sin^3(x)

Solution

derivative of

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

Solution

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (tan^{2} (x)) = 2 tan (x) sec^{2} (x)

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

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

Graph

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Frequently Asked Questions (FAQ)

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