What is the derivative of sqrt(6-5cos(2x)) ?

The derivative of sqrt(6-5cos(2x)) is (5sin(2x))/(sqrt(6-5cos(2x)))

What is the first derivative of sqrt(6-5cos(2x)) ?

The first derivative of sqrt(6-5cos(2x)) is (5sin(2x))/(sqrt(6-5cos(2x)))

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derivative of

6 - 5 cos (2 x)

\frac{5 sin ( 2 x )}{6 - 5 cos ( 2 x )}

Solution steps

\frac{d}{d x} (6 - 5 cos (2 x))

Apply the chain rule:

\frac{1}{2 6 - 5 cos ( 2 x )} \frac{d}{d x} (6 - 5 cos (2 x))

= \frac{1}{2 6 - 5 cos ( 2 x )} \frac{d}{d x} (6 - 5 cos (2 x))

\frac{d}{d x} (6 - 5 cos (2 x)) = 10 sin (2 x)

= \frac{1}{2 6 - 5 cos ( 2 x )} \cdot 10 sin (2 x)

Simplify

\frac{1}{2 6 - 5 cos ( 2 x )} \cdot 10 sin (2 x) : \frac{5 sin ( 2 x )}{6 - 5 cos ( 2 x )}

= \frac{5 sin ( 2 x )}{6 - 5 cos ( 2 x )}

f (x) = x x^{2} + 1

\int sin (9 x) ln (sin (9 x)) d x

\int_{0}^{3} 10

\int x - 2^{x} - 3 sin (3 x) + 4 e^{2 x} d x

\int \frac{x ^{3}}{x ^{2} + 6 x + 5} d x

What is the derivative of sqrt(6-5cos(2x)) ?
The derivative of sqrt(6-5cos(2x)) is (5sin(2x))/(sqrt(6-5cos(2x)))
What is the first derivative of sqrt(6-5cos(2x)) ?
The first derivative of sqrt(6-5cos(2x)) is (5sin(2x))/(sqrt(6-5cos(2x)))