What is the derivative of tan^8(x) ?

The derivative of tan^8(x) is 8tan^7(x)sec^2(x)

What is the first derivative of tan^8(x) ?

The first derivative of tan^8(x) is 8tan^7(x)sec^2(x)

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derivative of

tan^{8} (x)

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

Solution steps

\frac{d}{d x} (tan^{8} (x))

Apply the chain rule:

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

= 8 (tan (x))^{7} \frac{d}{d x} (tan (x))

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

= 8 (tan (x))^{7} sec^{2} (x)

Simplify

= 8 tan^{7} (x) sec^{2} (x)

\frac{\partial}{\partial y} (x^{3} + 2 x y + y^{2})

\frac{\partial}{\partial y} (3 x^{2} y^{2} + 3)

x^{2} - 4 x y + x \frac{d y}{d x} = 0

\int x^{\frac{- 5}{3}} d x

x^{^{'}} = 2 - x

What is the derivative of tan^8(x) ?
The derivative of tan^8(x) is 8tan^7(x)sec^2(x)
What is the first derivative of tan^8(x) ?
The first derivative of tan^8(x) is 8tan^7(x)sec^2(x)