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Popular >

derivative of xsqrt(x)+1/(x^2sqrt(x))

Solution

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

Solution

\frac{3 x}{2} - \frac{5}{2 x ^{\frac{7}{2}}}

Solution steps

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

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x x) + \frac{d}{d x} (\frac{1}{x ^{2} x})

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

\frac{d}{d x} (\frac{1}{x ^{2} x}) = - \frac{5}{2 x ^{\frac{7}{2}}}

= \frac{3 x}{2} - \frac{5}{2 x ^{\frac{7}{2}}}

Popular Examples

integral of (17)/((x-1)(x^2+16))

\int \frac{17}{( x - 1 ) ( x ^{2} + 16 )} d x

derivative of ({f}(x)^{{g}(x)})

\frac{d}{d x} ((f (x))^{g (x)})

(\partial)/(\partial y)(cos(x^2y))

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

integral of (sec(t)-1)^2

\int (sec (t) - 1)^{2} d t

implicit tan(5x+y)=5x implicit derivative

tan (5 x + y) = 5 x

Frequently Asked Questions (FAQ)

What is the derivative of xsqrt(x)+1/(x^2sqrt(x)) ?
The derivative of xsqrt(x)+1/(x^2sqrt(x)) is (3sqrt(x))/2-5/(2x^{7/2)}
What is the first derivative of xsqrt(x)+1/(x^2sqrt(x)) ?
The first derivative of xsqrt(x)+1/(x^2sqrt(x)) is (3sqrt(x))/2-5/(2x^{7/2)}