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

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

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

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

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derivative of

tan (2 (x + 1))

sec^{2} (2 (x + 1)) \cdot 2

Solution steps

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

Apply the chain rule:

sec^{2} (2 (x + 1)) \frac{d}{d x} (2 (x + 1))

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

\frac{d}{d x} (2 (x + 1)) = 2

= sec^{2} (2 (x + 1)) \cdot 2

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