What is the derivative of f(x)=ln(25sin^2(x)) ?

The derivative of f(x)=ln(25sin^2(x)) is 2cot(x)

What is the first derivative of f(x)=ln(25sin^2(x)) ?

The first derivative of f(x)=ln(25sin^2(x)) is 2cot(x)

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derivative of

f (x) = ln (25 sin^{2} (x))

2 cot (x)

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

\frac{1}{25 sin ^{2} ( x )} \cdot 25 sin (2 x) : 2 cot (x)

= 2 cot (x)

y (X) = 0.167 X

(- 2, 4), (5, - 1)

x \to 0 lim (x^{9 s i n (x)})

\frac{\partial}{\partial y} (2 x - 5 y + 2)

x \to 4 + lim (\frac{3 x}{x - 4})

What is the derivative of f(x)=ln(25sin^2(x)) ?
The derivative of f(x)=ln(25sin^2(x)) is 2cot(x)
What is the first derivative of f(x)=ln(25sin^2(x)) ?
The first derivative of f(x)=ln(25sin^2(x)) is 2cot(x)