What is the derivative of tan^4(3x^2) ?

The derivative of tan^4(3x^2) is 2tan^4(3)x

What is the first derivative of tan^4(3x^2) ?

The first derivative of tan^4(3x^2) is 2tan^4(3)x

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\frac{d}{d x} (tan^{4} (3) x^{2})

2 tan^{4} (3) x

Solution steps

\frac{d}{d x} (tan^{4} (3) x^{2})

Take the constant out:

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

= tan^{4} (3) \frac{d}{d x} (x^{2})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= tan^{4} (3) \cdot 2 x^{2 - 1}

Simplify

= 2 tan^{4} (3) x

\int \frac{( x ^{2} + x )}{( x - 3 ) ( x ^{2} + 1 )} d x

\int - \frac{1}{( x + 3 ) ^{2}} d x

\frac{d}{d x} (\frac{x ^{2}}{20})

\frac{d}{d x} (3 x - 4 x)

\int_{1}^{2} \frac{x}{1 + 4 x ^{2}} d x

What is the derivative of tan^4(3x^2) ?
The derivative of tan^4(3x^2) is 2tan^4(3)x
What is the first derivative of tan^4(3x^2) ?
The first derivative of tan^4(3x^2) is 2tan^4(3)x