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

The derivative of 3tan^3(x) is 9tan^2(x)sec^2(x)

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

The first derivative of 3tan^3(x) is 9tan^2(x)sec^2(x)

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derivative of

3 tan^{3} (x)

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

Solution steps

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

Take the constant out:

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

= 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)

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

Simplify

= 9 tan^{2} (x) sec^{2} (x)

cos^{2} (5 x)

\frac{1 - t ^{2}}{4}

\frac{d}{d s} (\frac{( 13 ( s + 2 ) ( s + 5 ) )}{( s ( s + 3 ) )})

q (t) = 6 t^{2} + 5 t + 4

\frac{5}{( 1 + 3 x )}

What is the derivative of 3tan^3(x) ?
The derivative of 3tan^3(x) is 9tan^2(x)sec^2(x)
What is the first derivative of 3tan^3(x) ?
The first derivative of 3tan^3(x) is 9tan^2(x)sec^2(x)