What is the derivative of sqrt(20-25sin^2(x)) ?

The derivative of sqrt(20-25sin^2(x)) is -(25sin(2x))/(2sqrt(20-25sin^2(x)))

What is the first derivative of sqrt(20-25sin^2(x)) ?

The first derivative of sqrt(20-25sin^2(x)) is -(25sin(2x))/(2sqrt(20-25sin^2(x)))

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\frac{d}{d x} (20 - 25 sin^{2} (x))

- \frac{25 sin ( 2 x )}{2 20 - 25 sin ^{2} ( x )}

Solution steps

\frac{d}{d x} (20 - 25 sin^{2} (x))

Apply the chain rule:

\frac{1}{2 20 - 25 sin ^{2} ( x )} \frac{d}{d x} (20 - 25 sin^{2} (x))

= \frac{1}{2 20 - 25 sin ^{2} ( x )} \frac{d}{d x} (20 - 25 sin^{2} (x))

\frac{d}{d x} (20 - 25 sin^{2} (x)) = - 25 sin (2 x)

= \frac{1}{2 20 - 25 sin ^{2} ( x )} (- 25 sin (2 x))

Simplify

\frac{1}{2 20 - 25 sin ^{2} ( x )} (- 25 sin (2 x)) : - \frac{25 sin ( 2 x )}{2 20 - 25 sin ^{2} ( x )}

= - \frac{25 sin ( 2 x )}{2 20 - 25 sin ^{2} ( x )}

\frac{d}{d x} (\frac{1}{4 + 3 x})

\int_{1}^{2} x^{5} + \frac{1}{4 x ^{5}} d x

\int_{0}^{1} \frac{x - 4}{x ^{2} - 5 x - 6} d x

\int \frac{1}{( x ^{2} + 1 ) ^{3}} d x

\frac{\partial}{\partial x} (ln (x^{2} + x y))

What is the derivative of sqrt(20-25sin^2(x)) ?
The derivative of sqrt(20-25sin^2(x)) is -(25sin(2x))/(2sqrt(20-25sin^2(x)))
What is the first derivative of sqrt(20-25sin^2(x)) ?
The first derivative of sqrt(20-25sin^2(x)) is -(25sin(2x))/(2sqrt(20-25sin^2(x)))