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Popular >

derivative of sinh^2(3x+arcsin(2x))

Solution

\frac{d}{d x} (sinh^{2} (3 x) + arcsin (2 x))

Solution

6 sinh (3 x) cosh (3 x) + \frac{2}{1 - 4 x ^{2}}

Solution steps

\frac{d}{d x} (sinh^{2} (3 x) + arcsin (2 x))

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (sinh^{2} (3 x)) + \frac{d}{d x} (arcsin (2 x))

\frac{d}{d x} (sinh^{2} (3 x)) = 6 sinh (3 x) cosh (3 x)

\frac{d}{d x} (arcsin (2 x)) = \frac{2}{1 - 4 x ^{2}}

= 6 sinh (3 x) cosh (3 x) + \frac{2}{1 - 4 x ^{2}}

Popular Examples

integral of (3x^3+(2x-3)^2)

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

derivative of sqrt(tan(x+cot(x)))

\frac{d}{d x} (tan (x) + cot (x))

(\partial)/(\partial x)(sqrt(x^2+4xy+y^6))

\frac{\partial}{\partial x} (x^{2} + 4 x y + y^{6})

derivative of x/(2^x)

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

integral from 1 to e of x^nln(x^m)

\int_{1}^{e} x^{n} ln (x^{m}) d x

Frequently Asked Questions (FAQ)

What is the derivative of sinh^2(3x+arcsin(2x)) ?
The derivative of sinh^2(3x+arcsin(2x)) is 6sinh(3x)cosh(3x)+2/(sqrt(1-4x^2))
What is the first derivative of sinh^2(3x+arcsin(2x)) ?
The first derivative of sinh^2(3x+arcsin(2x)) is 6sinh(3x)cosh(3x)+2/(sqrt(1-4x^2))