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Popular >

derivative of (3x^2/2-7/(5x^2))

Solution

\frac{d}{d x} (\frac{3 x ^{2}}{2} - \frac{7}{5 x ^{2}})

Solution

3 x + \frac{14}{5 x ^{3}}

Solution steps

\frac{d}{d x} (\frac{3 x ^{2}}{2} - \frac{7}{5 x ^{2}})

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (\frac{7}{5 x ^{2}}) = - \frac{14}{5 x ^{3}}

= 3 x - (- \frac{14}{5 x ^{3}})

Simplify

= 3 x + \frac{14}{5 x ^{3}}

Popular Examples

(d^2)/(dx^2)(1/(sqrt(1-t^2)))

\frac{d ^{2}}{d x ^{2}} (\frac{1}{1 - t ^{2}})

tangent of y=3x^2-4x+5 tangent of

y = 3 x^{2} - 4 x + 5

derivative of y=ln(x)sqrt(x)derivative of

y = ln (x) x

integral from 0 to 2pi of sin(x)+cos(x)

\int_{0}^{2 π} sin (x) + cos (x) d x

limit as x approaches 5 of 5/((x-5)^2)

x \to 5 lim (\frac{5}{( x - 5 ) ^{2}})

Frequently Asked Questions (FAQ)

What is the derivative of (3x^2/2-7/(5x^2)) ?
The derivative of (3x^2/2-7/(5x^2)) is 3x+(14)/(5x^3)
What is the first derivative of (3x^2/2-7/(5x^2)) ?
The first derivative of (3x^2/2-7/(5x^2)) is 3x+(14)/(5x^3)