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Popular >

derivative of (x^3/3-3/(x^5)+4pi)

Solution

\frac{d}{d x} (\frac{x ^{3}}{3} - \frac{3}{x ^{5}} + 4 π)

Solution

x^{2} + \frac{15}{x ^{6}}

Solution steps

\frac{d}{d x} (\frac{x ^{3}}{3} - \frac{3}{x ^{5}} + 4 π)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{x ^{3}}{3}) - \frac{d}{d x} (\frac{3}{x ^{5}}) + \frac{d}{d x} (4 π)

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

\frac{d}{d x} (\frac{3}{x ^{5}}) = - \frac{15}{x ^{6}}

\frac{d}{d x} (4 π) = 0

= x^{2} - (- \frac{15}{x ^{6}}) + 0

Simplify

= x^{2} + \frac{15}{x ^{6}}

Popular Examples

(dy}{dx}=\frac{(4sqrt(y)log_{e}(x)))/x

\frac{d y}{d x} = \frac{( 4 y lo g _{e} ( x ) )}{x}

tangent of 1/((1+x^2),(1, 1/2))tangent of

\frac{1}{( 1 + x ^{2} ) , ( 1 , \frac{1}{2} )}

tangent of-3cos(x),\at x= pi/2 tangent of

- 3 cos (x), at x = \frac{π}{2}

y^{''}-14y^'+49y=e^{8x}(x^2-9x-2)

y^{^{''}} - 14 y^{^{'}} + 49 y = e^{8 x} (x^{2} - 9 x - 2)

y^'=1+e^{y-x+5}

y^{^{'}} = 1 + e^{y - x + 5}

Frequently Asked Questions (FAQ)

What is the derivative of (x^3/3-3/(x^5)+4pi) ?
The derivative of (x^3/3-3/(x^5)+4pi) is x^2+(15)/(x^6)
What is the first derivative of (x^3/3-3/(x^5)+4pi) ?
The first derivative of (x^3/3-3/(x^5)+4pi) is x^2+(15)/(x^6)