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Popular >

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

Solution

derivative of

\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

sin(x)y^'+cos(x)y=2

sin (x) y^{^{'}} + cos (x) y = 2

derivative of f(x)=((x^2))/((5+x))derivative of

f (x) = \frac{( x ^{2} )}{( 5 + x )}

tangent of f(x)=4x^2-2x+6,\at x=4 tangent of

f (x) = 4 x^{2} - 2 x + 6, at x = 4

integral from 0 to 1 of 7x5^x

\int_{0}^{1} 7 x 5^{x} d x

(\partial)/(\partial y)(x^2+sqrt(x^2+y))

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

Frequently Asked Questions (FAQ)

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