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Popular >

derivative of y=(x^6)/6+1/(16x^4)

Solution

derivative of

y = \frac{x ^{6}}{6} + \frac{1}{16 x ^{4}}

Solution

x^{5} - \frac{1}{4 x ^{5}}

Solution steps

\frac{d}{d x} (\frac{x ^{6}}{6} + \frac{1}{16 x ^{4}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{x ^{6}}{6}) + \frac{d}{d x} (\frac{1}{16 x ^{4}})

\frac{d}{d x} (\frac{x ^{6}}{6}) = x^{5}

\frac{d}{d x} (\frac{1}{16 x ^{4}}) = - \frac{1}{4 x ^{5}}

= x^{5} - \frac{1}{4 x ^{5}}

Popular Examples

integral from-1 to 1 of (x^2)/(1+x^6)

\int_{- 1}^{1} \frac{x ^{2}}{1 + x ^{6}} d x

derivative of (cos(x))/(e^x)derivative of

\frac{cos ( x )}{e ^{x}}

integral of (7x^2-4x)e^{2x}

\int (7 x^{2} - 4 x) e^{2 x} d x

limit as x approaches 1 of ((x^5-1))/(x^3-1)

x \to 1 lim (\frac{( x ^{5} - 1 )}{x ^{3} - 1})

tangent of-0.025x^2+4x tangent of

- 0.025 x^{2} + 4 x

Frequently Asked Questions (FAQ)

What is the derivative of y=(x^6)/6+1/(16x^4) ?
The derivative of y=(x^6)/6+1/(16x^4) is x^5-1/(4x^5)
What is the first derivative of y=(x^6)/6+1/(16x^4) ?
The first derivative of y=(x^6)/6+1/(16x^4) is x^5-1/(4x^5)