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Popular >

derivative of tan^2(x+1)

Solution

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

Solution

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

Solution steps

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

Simplify

tan^{2} (x) + 1 : sec^{2} (x)

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

Apply the chain rule:

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

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

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

= 2 sec (x) sec (x) tan (x)

Simplify

2 sec (x) sec (x) tan (x) : 2 sec^{2} (x) tan (x)

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

Popular Examples

integral of ((8+3x-x^2))/((2x+3)(x+2)^2)

\int \frac{( 8 + 3 x - x ^{2} )}{( 2 x + 3 ) ( x + 2 ) ^{2}} d x

(\partial)/(\partial x)(3e^{xy})

\frac{\partial}{\partial x} (3 e^{x y})

taylor-ln(1-x)taylor

- ln (1 - x)

derivative of ln(x^2+5x)

\frac{d}{d x} (ln (x^{2} + 5 x))

integral from 0 to 1 of 1/(sqrt(3-2x))

\int_{0}^{1} \frac{1}{3 - 2 x} d x

Frequently Asked Questions (FAQ)

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