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Popular >

derivative of tan(cos(2x))

Solution

\frac{d}{d x} (tan (cos (2 x)))

Solution

- 2 sec^{2} (cos (2 x)) sin (2 x)

Solution steps

\frac{d}{d x} (tan (cos (2 x)))

Apply the chain rule:

sec^{2} (cos (2 x)) \frac{d}{d x} (cos (2 x))

= sec^{2} (cos (2 x)) \frac{d}{d x} (cos (2 x))

\frac{d}{d x} (cos (2 x)) = - sin (2 x) \cdot 2

= sec^{2} (cos (2 x)) (- sin (2 x) \cdot 2)

Simplify

= - 2 sec^{2} (cos (2 x)) sin (2 x)

Graph

Popular Examples

integral of (2x)/(x^2+2x+3)

\int \frac{2 x}{x ^{2} + 2 x + 3} d x

2x^{''}+7x^'+3x=0,x(0)=3,x^'(0)=0

2 x^{^{''}} + 7 x^{^{'}} + 3 x = 0, x (0) = 3, x^{^{'}} (0) = 0

(1+ln(x)+y/x)dx=(8-ln(x))dy

(1 + ln (x) + \frac{y}{x}) d x = (8 - ln (x)) d y

derivative of ln(sinh(2x))

\frac{d}{d x} (ln (sinh (2 x)))

integral of (e^x)/(1+9e^{2x)}

\int \frac{e ^{x}}{1 + 9 e ^{2 x}} d x

Frequently Asked Questions (FAQ)

What is the derivative of tan(cos(2x)) ?
The derivative of tan(cos(2x)) is -2sec^2(cos(2x))sin(2x)
What is the first derivative of tan(cos(2x)) ?
The first derivative of tan(cos(2x)) is -2sec^2(cos(2x))sin(2x)