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Popular >

derivative of sec(x^5+x)

Solution

\frac{d}{d x} (sec (x^{5} + x))

Solution

sec (x^{5} + x) tan (x^{5} + x) (5 x^{4} + 1)

Solution steps

\frac{d}{d x} (sec (x^{5} + x))

Apply the chain rule:

sec (x^{5} + x) tan (x^{5} + x) \frac{d}{d x} (x^{5} + x)

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

\frac{d}{d x} (x^{5} + x) = 5 x^{4} + 1

= sec (x^{5} + x) tan (x^{5} + x) (5 x^{4} + 1)

Popular Examples

slope ofintercept (1.1)(0.5)slope intercept

(1.1) (0.5)

integral of sqrt(1+5x^2)(10x)

\int 1 + 5 x^{2} (10 x) d x

derivative of y=3x^2+(10x)/3-2 derivative of

y = 3 x^{2} + \frac{10 x}{3} - 2

derivative of (tan^3(x)/3)

\frac{d}{d x} (\frac{tan ^{3} ( x )}{3})

sum from n=1 to infinity of (2n!)/(n^5)

n = 1 \sum \infty \frac{2 n !}{n ^{5}}

Frequently Asked Questions (FAQ)

What is the derivative of sec(x^5+x) ?
The derivative of sec(x^5+x) is sec(x^5+x)tan(x^5+x)(5x^4+1)
What is the first derivative of sec(x^5+x) ?
The first derivative of sec(x^5+x) is sec(x^5+x)tan(x^5+x)(5x^4+1)