What is the derivative of 4x-5x^{9/10} ?

The derivative of 4x-5x^{9/10} is 4-9/(2x^{1/10)}

What is the first derivative of 4x-5x^{9/10} ?

The first derivative of 4x-5x^{9/10} is 4-9/(2x^{1/10)}

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\frac{d}{d x} (4 x - 5 x^{\frac{9}{10}})

4 - \frac{9}{2 x ^{\frac{1}{10}}}

Solution steps

\frac{d}{d x} (4 x - 5 x^{\frac{9}{10}})

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (4 x) = 4

\frac{d}{d x} (5 x^{\frac{9}{10}}) = \frac{9}{2 x ^{\frac{1}{10}}}

= 4 - \frac{9}{2 x ^{\frac{1}{10}}}

(3 t)^{^{'}}

2 x^{2}, 8 x^{2}, 5 - 3 x, 0

\frac{\partial}{\partial x} (\frac{2}{3 x + 2 y})

\int \frac{9}{1 + x ^{2}} d x

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

What is the derivative of 4x-5x^{9/10} ?
The derivative of 4x-5x^{9/10} is 4-9/(2x^{1/10)}
What is the first derivative of 4x-5x^{9/10} ?
The first derivative of 4x-5x^{9/10} is 4-9/(2x^{1/10)}