What is the derivative of 4x-5x^{3/4} ?

The derivative of 4x-5x^{3/4} is 4-(15)/(4x^{1/4)}

What is the first derivative of 4x-5x^{3/4} ?

The first derivative of 4x-5x^{3/4} is 4-(15)/(4x^{1/4)}

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derivative of

4 x - 5 x^{\frac{3}{4}}

4 - \frac{15}{4 x ^{\frac{1}{4}}}

Solution steps

\frac{d}{d x} (4 x - 5 x^{\frac{3}{4}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x) - \frac{d}{d x} (5 x^{\frac{3}{4}})

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

\frac{d}{d x} (5 x^{\frac{3}{4}}) = \frac{15}{4 x ^{\frac{1}{4}}}

= 4 - \frac{15}{4 x ^{\frac{1}{4}}}

What is the derivative of 4x-5x^{3/4} ?
The derivative of 4x-5x^{3/4} is 4-(15)/(4x^{1/4)}
What is the first derivative of 4x-5x^{3/4} ?
The first derivative of 4x-5x^{3/4} is 4-(15)/(4x^{1/4)}