What is the derivative of 3x-4x^{9/10} ?

The derivative of 3x-4x^{9/10} is 3-(18)/(5x^{1/10)}

What is the first derivative of 3x-4x^{9/10} ?

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

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

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}}}

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