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Popular >

derivative of f(x)=ln(64sin^2(x))

Solution

derivative of

f (x) = ln (64 sin^{2} (x))

Solution

2 cot (x)

Solution steps

\frac{d}{d x} (ln (64 sin^{2} (x)))

Apply the chain rule:

\frac{1}{64 sin ^{2} ( x )} \frac{d}{d x} (64 sin^{2} (x))

= \frac{1}{64 sin ^{2} ( x )} \frac{d}{d x} (64 sin^{2} (x))

\frac{d}{d x} (64 sin^{2} (x)) = 128 sin (x) cos (x)

= \frac{1}{64 sin ^{2} ( x )} \cdot 128 sin (x) cos (x)

Simplify

\frac{1}{64 sin ^{2} ( x )} \cdot 128 sin (x) cos (x) : 2 cot (x)

= 2 cot (x)

Popular Examples

y^{''}-3y^'-4y=e^{3t}

y^{^{''}} - 3 y^{^{'}} - 4 y = e^{3 t}

area y=(x^3)/2+(x^2)/2-2x,y=(x^2)/2 area

y = \frac{x ^{3}}{2} + \frac{x ^{2}}{2} - 2 x, y = \frac{x ^{2}}{2}

derivative of f(x)=cos^2(3x+1)derivative of

f (x) = cos^{2} (3 x + 1)

derivative of ln(4+x^2)

\frac{d}{d x} (ln (4 + x^{2}))

y^{^{'}} - 5 y = 9 e^{8 t}

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=ln(64sin^2(x)) ?
The derivative of f(x)=ln(64sin^2(x)) is 2cot(x)
What is the first derivative of f(x)=ln(64sin^2(x)) ?
The first derivative of f(x)=ln(64sin^2(x)) is 2cot(x)