What is the derivative of f(x)=7tan^3(x) ?

The derivative of f(x)=7tan^3(x) is 21tan^2(x)sec^2(x)

What is the first derivative of f(x)=7tan^3(x) ?

The first derivative of f(x)=7tan^3(x) is 21tan^2(x)sec^2(x)

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derivative of

f (x) = 7 tan^{3} (x)

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

Solution steps

\frac{d}{d x} (7 tan^{3} (x))

Take the constant out:

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

= 7 \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)

= 7 \cdot 3 (tan (x))^{2} sec^{2} (x)

Simplify

= 21 tan^{2} (x) sec^{2} (x)

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\int \frac{x ^{2} arctan ( x )}{1 + x ^{2}} d x

What is the derivative of f(x)=7tan^3(x) ?
The derivative of f(x)=7tan^3(x) is 21tan^2(x)sec^2(x)
What is the first derivative of f(x)=7tan^3(x) ?
The first derivative of f(x)=7tan^3(x) is 21tan^2(x)sec^2(x)