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Popular >

derivative of sqrt(cos(-10x))

Solution

derivative of

cos (- 10 x)

Solution

\frac{1}{2 cos ( - 10 x )} (- sin (10 x) \cdot 10)

Solution steps

\frac{d}{d x} (cos (- 10 x))

Apply the chain rule:

\frac{1}{2 cos ( - 10 x )} \frac{d}{d x} (cos (- 10 x))

= \frac{1}{2 cos ( - 10 x )} \frac{d}{d x} (cos (- 10 x))

\frac{d}{d x} (cos (- 10 x)) = - sin (10 x) \cdot 10

= \frac{1}{2 cos ( - 10 x )} (- sin (10 x) \cdot 10)

Popular Examples

integral of x*tan(x)

\int x \cdot tan (x) d x

(\partial)/(\partial x)(x/(1+x))

\frac{\partial}{\partial x} (\frac{x}{1 + x})

tangent of 3(x)^2+8(x)+12 tangent of

3 (x)^{2} + 8 (x) + 12

limit as x approaches 2 of x/(x^2+1)

x \to 2 lim (\frac{x}{x ^{2} + 1})

y^{''}+4y^'-2y=2x^2-3x+6

y^{^{''}} + 4 y^{^{'}} - 2 y = 2 x^{2} - 3 x + 6

Frequently Asked Questions (FAQ)

What is the derivative of sqrt(cos(-10x)) ?
The derivative of sqrt(cos(-10x)) is 1/(2sqrt(cos(-10x)))(-sin(10x)*10)
What is the first derivative of sqrt(cos(-10x)) ?
The first derivative of sqrt(cos(-10x)) is 1/(2sqrt(cos(-10x)))(-sin(10x)*10)