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Popular Calculus >

derivative of-4sec^2(x+6sec^4(x))

Solution

\frac{d}{d x} (- 4 sec^{2} (x) + 6 sec^{4} (x))

Solution

- 8 sec^{2} (x) tan (x) + 24 sec^{4} (x) tan (x)

Solution steps

\frac{d}{d x} (- 4 sec^{2} (x) + 6 sec^{4} (x))

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= - \frac{d}{d x} (4 sec^{2} (x)) + \frac{d}{d x} (6 sec^{4} (x))

\frac{d}{d x} (4 sec^{2} (x)) = 8 sec^{2} (x) tan (x)

\frac{d}{d x} (6 sec^{4} (x)) = 24 sec^{4} (x) tan (x)

= - 8 sec^{2} (x) tan (x) + 24 sec^{4} (x) tan (x)

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of-4sec^2(x+6sec^4(x)) ?
The derivative of-4sec^2(x+6sec^4(x)) is -8sec^2(x)tan(x)+24sec^4(x)tan(x)
What is the first derivative of-4sec^2(x+6sec^4(x)) ?
The first derivative of-4sec^2(x+6sec^4(x)) is -8sec^2(x)tan(x)+24sec^4(x)tan(x)