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Popular >

derivative of 4x^4-1/(4x^4)

Solution

derivative of

4 x^{4} - \frac{1}{4 x ^{4}}

Solution

16 x^{3} + \frac{1}{x ^{5}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (4 x^{4}) = 16 x^{3}

\frac{d}{d x} (\frac{1}{4 x ^{4}}) = - \frac{1}{x ^{5}}

= 16 x^{3} - (- \frac{1}{x ^{5}})

Simplify

= 16 x^{3} + \frac{1}{x ^{5}}

Popular Examples

(\partial)/(\partial x)((-9x-7y)/((5x+3y)))

\frac{\partial}{\partial x} (\frac{- 9 x - 7 y}{( 5 x + 3 y )})

integral of 1/(sqrt(9x^2-16))

\int \frac{1}{9 x ^{2} - 16} d x

(\partial)/(\partial y)(zarctan(y/x))

\frac{\partial}{\partial y} (z arctan (\frac{y}{x}))

derivative of e^{1-3x}

\frac{d}{d x} (e^{1 - 3 x})

integral from 1 to 2 of (e^x)/x

\int_{1}^{2} \frac{e ^{x}}{x} d x

Frequently Asked Questions (FAQ)

What is the derivative of 4x^4-1/(4x^4) ?
The derivative of 4x^4-1/(4x^4) is 16x^3+1/(x^5)
What is the first derivative of 4x^4-1/(4x^4) ?
The first derivative of 4x^4-1/(4x^4) is 16x^3+1/(x^5)