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Popular >

derivative of sqrt(cos(3x-1))

Solution

\frac{d}{d x} (cos (3 x - 1))

Solution

- \frac{3 sin ( 3 x - 1 )}{2 cos ( 3 x - 1 )}

Solution steps

\frac{d}{d x} (cos (3 x - 1))

Apply the chain rule:

\frac{1}{2 cos ( 3 x - 1 )} \frac{d}{d x} (cos (3 x - 1))

= \frac{1}{2 cos ( 3 x - 1 )} \frac{d}{d x} (cos (3 x - 1))

\frac{d}{d x} (cos (3 x - 1)) = - sin (3 x - 1) \cdot 3

= \frac{1}{2 cos ( 3 x - 1 )} (- sin (3 x - 1) \cdot 3)

Simplify

\frac{1}{2 cos ( 3 x - 1 )} (- sin (3 x - 1) \cdot 3) : - \frac{3 sin ( 3 x - 1 )}{2 cos ( 3 x - 1 )}

= - \frac{3 sin ( 3 x - 1 )}{2 cos ( 3 x - 1 )}

Graph

Popular Examples

integral from 0 to 1 of (e^x-1)

\int_{0}^{1} (e^{x} - 1) d x

y^{''}+4y=0,y(0)=5,y^'(0)=1

y^{^{''}} + 4 y = 0, y (0) = 5, y^{^{'}} (0) = 1

integral from 0 to s of 1/(0.2s+10)

\int_{0}^{s} \frac{1}{0.2 s + 10} d s

(\partial)/(\partial x)(1/(x+2))

\frac{\partial}{\partial x} (\frac{1}{x + 2})

limit as h approaches 0 of ((3+h)^3-9)/h

h \to 0 lim (\frac{( 3 + h ) ^{3} - 9}{h})

Frequently Asked Questions (FAQ)

What is the derivative of sqrt(cos(3x-1)) ?
The derivative of sqrt(cos(3x-1)) is -(3sin(3x-1))/(2sqrt(cos(3x-1)))
What is the first derivative of sqrt(cos(3x-1)) ?
The first derivative of sqrt(cos(3x-1)) is -(3sin(3x-1))/(2sqrt(cos(3x-1)))