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Popular >

derivative of 3csc^2(x)

Solution

\frac{d}{d x} (3 csc^{2} (x))

Solution

- 6 csc^{2} (x) cot (x)

Solution steps

\frac{d}{d x} (3 csc^{2} (x))

Take the constant out:

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

= 3 \frac{d}{d x} (csc^{2} (x))

Apply the chain rule:

2 csc (x) \frac{d}{d x} (csc (x))

= 2 csc (x) \frac{d}{d x} (csc (x))

\frac{d}{d x} (csc (x)) = - cot (x) csc (x)

= 3 \cdot 2 csc (x) (- cot (x) csc (x))

Simplify

3 \cdot 2 csc (x) (- cot (x) csc (x)) : - 6 csc^{2} (x) cot (x)

= - 6 csc^{2} (x) cot (x)

Popular Examples

integral of x(1+x)^{1/4}

\int x (1 + x)^{\frac{1}{4}} d x

derivative of (cos(x)/(sin(x)+cos(x)))

\frac{d}{d x} (\frac{cos ( x )}{sin ( x ) + cos ( x )})

derivative of f(x)=(e^x)/(x^2+4),x=1 derivative of

f (x) = \frac{e ^{x}}{x ^{2} + 4}, x = 1

derivative of f(x)=(x+1)/(x-2)derivative of

f (x) = \frac{x + 1}{x - 2}

\int 0 d x

Frequently Asked Questions (FAQ)

What is the derivative of 3csc^2(x) ?
The derivative of 3csc^2(x) is -6csc^2(x)cot(x)
What is the first derivative of 3csc^2(x) ?
The first derivative of 3csc^2(x) is -6csc^2(x)cot(x)