What is the derivative of tan^2(x-1) ?

The derivative of tan^2(x-1) is 2tan(x-1)sec^2(x-1)

What is the first derivative of tan^2(x-1) ?

The first derivative of tan^2(x-1) is 2tan(x-1)sec^2(x-1)

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derivative of

tan^{2} (x - 1)

2 tan (x - 1) sec^{2} (x - 1)

Solution steps

\frac{d}{d x} (tan^{2} (x - 1))

Apply the chain rule:

2 tan (x - 1) \frac{d}{d x} (tan (x - 1))

= 2 tan (x - 1) \frac{d}{d x} (tan (x - 1))

\frac{d}{d x} (tan (x - 1)) = sec^{2} (x - 1)

= 2 tan (x - 1) sec^{2} (x - 1)

What is the derivative of tan^2(x-1) ?
The derivative of tan^2(x-1) is 2tan(x-1)sec^2(x-1)
What is the first derivative of tan^2(x-1) ?
The first derivative of tan^2(x-1) is 2tan(x-1)sec^2(x-1)