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Popular >

derivative of sec(3sin(2x))

Solution

derivative of

sec (3 sin (2 x))

Solution

sec (3 sin (2 x)) tan (3 sin (2 x)) \cdot 6 cos (2 x)

Solution steps

\frac{d}{d x} (sec (3 sin (2 x)))

Apply the chain rule:

sec (3 sin (2 x)) tan (3 sin (2 x)) \frac{d}{d x} (3 sin (2 x))

= sec (3 sin (2 x)) tan (3 sin (2 x)) \frac{d}{d x} (3 sin (2 x))

\frac{d}{d x} (3 sin (2 x)) = 6 cos (2 x)

= sec (3 sin (2 x)) tan (3 sin (2 x)) \cdot 6 cos (2 x)

Popular Examples

limit as x approaches 0 of e^x-1

x \to 0 lim (e^{x} - 1)

slope ofintercept (-3,-7),(2,3)slope intercept

(- 3, - 7), (2, 3)

integral of 1/(cos^2(s))

\int \frac{1}{cos ^{2} ( s )} d s

derivative of (16x/((x^2+4)^2))

\frac{d}{d x} (\frac{16 x}{( x ^{2} + 4 ) ^{2}})

(\partial)/(\partial x)(3arctan(y/x))

\frac{\partial}{\partial x} (3 arctan (\frac{y}{x}))

Frequently Asked Questions (FAQ)

What is the derivative of sec(3sin(2x)) ?
The derivative of sec(3sin(2x)) is sec(3sin(2x))tan(3sin(2x))*6cos(2x)
What is the first derivative of sec(3sin(2x)) ?
The first derivative of sec(3sin(2x)) is sec(3sin(2x))tan(3sin(2x))*6cos(2x)