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Popular >

derivative of (tan^3(x)/3)

Solution

\frac{d}{d x} (\frac{tan ^{3} ( x )}{3})

Solution

tan^{2} (x) sec^{2} (x)

Solution steps

\frac{d}{d x} (\frac{tan ^{3} ( x )}{3})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{1}{3} \frac{d}{d x} (tan^{3} (x))

Apply the chain rule:

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

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

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

= \frac{1}{3} \cdot 3 (tan (x))^{2} sec^{2} (x)

Simplify

\frac{1}{3} \cdot 3 tan^{2} (x) sec^{2} (x) : tan^{2} (x) sec^{2} (x)

= tan^{2} (x) sec^{2} (x)

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n = 1 \sum \infty \frac{2 n !}{n ^{5}}

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derivative of f(x)=2-2/3 x derivative of

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Frequently Asked Questions (FAQ)

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