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Popular >

derivative of tan^2(x^2-5x)

Solution

\frac{d}{d x} (tan^{2} (x^{2} - 5 x))

Solution

2 tan (x^{2} - 5 x) sec^{2} (x^{2} - 5 x) (2 x - 5)

Solution steps

\frac{d}{d x} (tan^{2} (x^{2} - 5 x))

Apply the chain rule:

2 tan (x^{2} - 5 x) \frac{d}{d x} (tan (x^{2} - 5 x))

= 2 tan (x^{2} - 5 x) \frac{d}{d x} (tan (x^{2} - 5 x))

\frac{d}{d x} (tan (x^{2} - 5 x)) = sec^{2} (x^{2} - 5 x) (2 x - 5)

= 2 tan (x^{2} - 5 x) sec^{2} (x^{2} - 5 x) (2 x - 5)

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Frequently Asked Questions (FAQ)

What is the derivative of tan^2(x^2-5x) ?
The derivative of tan^2(x^2-5x) is 2tan(x^2-5x)sec^2(x^2-5x)(2x-5)
What is the first derivative of tan^2(x^2-5x) ?
The first derivative of tan^2(x^2-5x) is 2tan(x^2-5x)sec^2(x^2-5x)(2x-5)