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

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

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

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

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derivative of

f (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)

e^{x} + \frac{1}{1 + x}, 0

\int 19 tan^{3} (θ) d θ

\frac{\partial}{\partial y} (x^{5} - 6 x + 4 y^{3} - y^{2})

6 x^{4} - 3

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