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

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

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

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

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derivative of

y = tan^{4} (x)

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

f (x) = e^{x^{6}}

\int_{2}^{\infty} \frac{8}{x ^{2}} d x

\frac{d}{d x} (\frac{( 5 x ^{3} )}{( 1 - 5 x ) ^{4}})

y^{^{''}} - 4 y^{^{'}} + 4 y = e^{- t}

\int 16 x (8 x^{2} + 2)^{6} d x

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