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

The derivative of tan^4(4x) is 16tan^3(4x)sec^2(4x)

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

The first derivative of tan^4(4x) is 16tan^3(4x)sec^2(4x)

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

16 tan^{3} (4 x) sec^{2} (4 x)

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

= 16 tan^{3} (4 x) sec^{2} (4 x)

\int 2 x^{3} - \frac{2}{3} x^{2} + 9 x d x

\int \frac{12}{( 1 + x + y ) ^{5}} d y

x^{2} y^{^{'}} + x (x + 2) y = e x

x \to 0 lim (3^{s i n (\frac{1}{x})})

\frac{d y}{d x} + \frac{1}{x} y = 2

What is the derivative of tan^4(4x) ?
The derivative of tan^4(4x) is 16tan^3(4x)sec^2(4x)
What is the first derivative of tan^4(4x) ?
The first derivative of tan^4(4x) is 16tan^3(4x)sec^2(4x)