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Popular Calculus >

derivative of sqrt(6+sec(pix^2))

Solution

\frac{d}{d x} (6 + sec (π) x^{2})

Solution

- \frac{x}{6 - x ^{2}}

Solution steps

\frac{d}{d x} (6 + sec (π) x^{2})

Apply the chain rule:

\frac{1}{2 6 + sec ( π ) x ^{2}} \frac{d}{d x} (6 + sec (π) x^{2})

= \frac{1}{2 6 + sec ( π ) x ^{2}} \frac{d}{d x} (6 + sec (π) x^{2})

\frac{d}{d x} (6 + sec (π) x^{2}) = - 2 x

= \frac{1}{2 6 + sec ( π ) x ^{2}} (- 2 x)

Simplify

\frac{1}{2 6 + sec ( π ) x ^{2}} (- 2 x) : - \frac{x}{6 - x ^{2}}

= - \frac{x}{6 - x ^{2}}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of sqrt(6+sec(pix^2)) ?
The derivative of sqrt(6+sec(pix^2)) is -x/(sqrt(6-x^2))
What is the first derivative of sqrt(6+sec(pix^2)) ?
The first derivative of sqrt(6+sec(pix^2)) is -x/(sqrt(6-x^2))