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Popular >

derivative of cos^2(3x^7)

Solution

\frac{d}{d x} (cos^{2} (3 x^{7}))

Solution

- 42 x^{6} cos (3 x^{7}) sin (3 x^{7})

Solution steps

\frac{d}{d x} (cos^{2} (3 x^{7}))

Apply the chain rule:

2 cos (3 x^{7}) \frac{d}{d x} (cos (3 x^{7}))

= 2 cos (3 x^{7}) \frac{d}{d x} (cos (3 x^{7}))

\frac{d}{d x} (cos (3 x^{7})) = - sin (3 x^{7}) \cdot 21 x^{6}

= 2 cos (3 x^{7}) (- sin (3 x^{7}) \cdot 21 x^{6})

Simplify

= - 42 x^{6} cos (3 x^{7}) sin (3 x^{7})

Graph

Popular Examples

(\partial)/(\partial x)(x^{1/4}y^{1/4})

\frac{\partial}{\partial x} (x^{\frac{1}{4}} y^{\frac{1}{4}})

integral of (5^x)/(ln(5))

\int \frac{5 ^{x}}{ln ( 5 )} d x

limit as x approaches infinity of 20

x \to \infty lim (20)

tangent of y= 1/(x^2),(-2, 1/4)tangent of

y = \frac{1}{x ^{2}}, (- 2, \frac{1}{4})

limit as x approaches-infinity of 3^{5x}

x \to - \infty lim (3^{5 x})

Frequently Asked Questions (FAQ)

What is the derivative of cos^2(3x^7) ?
The derivative of cos^2(3x^7) is -42x^6cos(3x^7)sin(3x^7)
What is the first derivative of cos^2(3x^7) ?
The first derivative of cos^2(3x^7) is -42x^6cos(3x^7)sin(3x^7)