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Popular >

derivative of 6sec(x-12cos(x))

Solution

\frac{d}{d x} (6 sec (x) - 12 cos (x))

Solution

6 sec (x) tan (x) + 12 sin (x)

Solution steps

\frac{d}{d x} (6 sec (x) - 12 cos (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (6 sec (x)) - \frac{d}{d x} (12 cos (x))

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

\frac{d}{d x} (12 cos (x)) = - 12 sin (x)

= 6 sec (x) tan (x) - (- 12 sin (x))

Simplify

= 6 sec (x) tan (x) + 12 sin (x)

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(d^2)/(dx^2)(x^6e^x)

\frac{d ^{2}}{d x ^{2}} (x^{6} e^{x})

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\int_{0}^{1} 7

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\frac{\partial}{\partial x} ((x + v (x, t) t)^{3})

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x \to - 3 lim (- x^{2} + 6 x - 1)

Frequently Asked Questions (FAQ)

What is the derivative of 6sec(x-12cos(x)) ?
The derivative of 6sec(x-12cos(x)) is 6sec(x)tan(x)+12sin(x)
What is the first derivative of 6sec(x-12cos(x)) ?
The first derivative of 6sec(x-12cos(x)) is 6sec(x)tan(x)+12sin(x)