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Popular >

derivative of-3/(x^2+4e^{2x})

Solution

\frac{d}{d x} (- \frac{3}{x ^{2}} + 4 e^{2 x})

Solution

\frac{6}{x ^{3}} + 8 e^{2 x}

Solution steps

\frac{d}{d x} (- \frac{3}{x ^{2}} + 4 e^{2 x})

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (\frac{3}{x ^{2}}) + \frac{d}{d x} (4 e^{2 x})

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

\frac{d}{d x} (4 e^{2 x}) = 8 e^{2 x}

= - (- \frac{6}{x ^{3}}) + 8 e^{2 x}

Simplify

= \frac{6}{x ^{3}} + 8 e^{2 x}

Popular Examples

integral of sqrt(r^2+z^2)

\int r^{2} + z^{2} d z

d/(dt)(sqrt(2)sin(t))

\frac{d}{d t} (2 sin (t))

f (x) = \frac{x ^{2}}{3}

(\partial)/(\partial y)(2x+3y-7)

\frac{\partial}{\partial y} (2 x + 3 y - 7)

integral of 0.8x+3

\int 0.8 x + 3 d x

Frequently Asked Questions (FAQ)

What is the derivative of-3/(x^2+4e^{2x}) ?
The derivative of-3/(x^2+4e^{2x}) is 6/(x^3)+8e^{2x}
What is the first derivative of-3/(x^2+4e^{2x}) ?
The first derivative of-3/(x^2+4e^{2x}) is 6/(x^3)+8e^{2x}