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Popular >

derivative of f(x)=3x-4x^{9/10}

Solution

derivative of

f (x) = 3 x - 4 x^{\frac{9}{10}}

Solution

3 - \frac{18}{5 x ^{\frac{1}{10}}}

Solution steps

\frac{d}{d x} (3 x - 4 x^{\frac{9}{10}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 x) - \frac{d}{d x} (4 x^{\frac{9}{10}})

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

\frac{d}{d x} (4 x^{\frac{9}{10}}) = \frac{18}{5 x ^{\frac{1}{10}}}

= 3 - \frac{18}{5 x ^{\frac{1}{10}}}

Popular Examples

integral from 2 to infinity of ye^{-6y}

\int_{2}^{\infty} y e^{- 6 y} d y

derivative of y= pi/3 (l^2h-h^3)derivative of

y = \frac{π}{3} (l^{2} h - h^{3})

derivative of 1/(2x^{3/2})

\frac{d}{d x} (\frac{1}{2 x ^{\frac{3}{2}}})

taylor x^3,2 taylor

x^{3}, 2

(18y^2-xy)dx+x^2dy=0

(18 y^{2} - x y) d x + x^{2} d y = 0

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=3x-4x^{9/10} ?
The derivative of f(x)=3x-4x^{9/10} is 3-(18)/(5x^{1/10)}
What is the first derivative of f(x)=3x-4x^{9/10} ?
The first derivative of f(x)=3x-4x^{9/10} is 3-(18)/(5x^{1/10)}