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

The derivative of tan^7(x) is 7tan^6(x)sec^2(x)

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

The first derivative of tan^7(x) is 7tan^6(x)sec^2(x)

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

7 tan^{6} (x) sec^{2} (x)

Solution steps

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

Apply the chain rule:

7 (tan (x))^{6} \frac{d}{d x} (tan (x))

= 7 (tan (x))^{6} \frac{d}{d x} (tan (x))

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

= 7 (tan (x))^{6} sec^{2} (x)

Simplify

= 7 tan^{6} (x) sec^{2} (x)

\frac{d}{d x} (\frac{1}{I n ( x + 2 )})

\int [5 x + \frac{2}{3 x ^{5}}] d x

2 a x + \frac{b}{x}

\frac{d}{d x} (arctan (\frac{13}{x}) - arctan (\frac{3}{x}))

\frac{\partial}{\partial x} (x e^{y^{2}} - y e^{x^{2}})

What is the derivative of tan^7(x) ?
The derivative of tan^7(x) is 7tan^6(x)sec^2(x)
What is the first derivative of tan^7(x) ?
The first derivative of tan^7(x) is 7tan^6(x)sec^2(x)