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Popular >

derivative of (x^2/(sin(a)x))

Solution

\frac{d}{d x} (\frac{x ^{2}}{sin ( a ) x})

Solution

csc (a)

Solution steps

\frac{d}{d x} (\frac{x ^{2}}{sin ( a ) x})

Simplify

\frac{x ^{2}}{sin ( a ) x} : x csc (a)

= \frac{d}{d x} (x csc (a))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= csc (a) \frac{d x}{d x}

Apply the common derivative:

\frac{d x}{d x} = 1

= csc (a) \cdot 1

Simplify

= csc (a)

Popular Examples

integral of 1/(x^2+x^4)

\int \frac{1}{x ^{2} + x ^{4}} d x

y^{^{'}} - y = 2 cos (5 t)

limit as x approaches 2 of-x^3

x \to 2 lim (- x^{3})

limit as x approaches 0 of 1/(2^x-1)-1/x

x \to 0 lim (\frac{1}{2 ^{x} - 1} - \frac{1}{x})

tangent of f(x)= 1/(x^5),\at x=1 tangent of

f (x) = \frac{1}{x ^{5}}, at x = 1

Frequently Asked Questions (FAQ)

What is the derivative of (x^2/(sin(a)x)) ?
The derivative of (x^2/(sin(a)x)) is csc(a)
What is the first derivative of (x^2/(sin(a)x)) ?
The first derivative of (x^2/(sin(a)x)) is csc(a)