What is the derivative of tan(10x) ?

The derivative of tan(10x) is sec^2(10x)*10

What is the first derivative of tan(10x) ?

The first derivative of tan(10x) is sec^2(10x)*10

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\frac{d}{d x} (tan (10 x))

sec^{2} (10 x) \cdot 10

Solution steps

\frac{d}{d x} (tan (10 x))

Apply the chain rule:

sec^{2} (10 x) \frac{d}{d x} (10 x)

= sec^{2} (10 x) \frac{d}{d x} (10 x)

\frac{d}{d x} (10 x) = 10

= sec^{2} (10 x) \cdot 10

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What is the derivative of tan(10x) ?
The derivative of tan(10x) is sec^2(10x)*10
What is the first derivative of tan(10x) ?
The first derivative of tan(10x) is sec^2(10x)*10