What is the derivative of tan^{22}(x) ?

The derivative of tan^{22}(x) is 22tan^{21}(x)sec^2(x)

What is the first derivative of tan^{22}(x) ?

The first derivative of tan^{22}(x) is 22tan^{21}(x)sec^2(x)

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\frac{d}{d x} (tan^{22} (x))

22 tan^{21} (x) sec^{2} (x)

Solution steps

\frac{d}{d x} (tan^{22} (x))

Apply the chain rule:

22 (tan (x))^{21} \frac{d}{d x} (tan (x))

= 22 (tan (x))^{21} \frac{d}{d x} (tan (x))

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

= 22 (tan (x))^{21} sec^{2} (x)

Simplify

= 22 tan^{21} (x) sec^{2} (x)

What is the derivative of tan^{22}(x) ?
The derivative of tan^{22}(x) is 22tan^{21}(x)sec^2(x)
What is the first derivative of tan^{22}(x) ?
The first derivative of tan^{22}(x) is 22tan^{21}(x)sec^2(x)