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Popular >

derivative of f(x)=2x-5x^{3/4}

Solution

derivative of

f (x) = 2 x - 5 x^{\frac{3}{4}}

Solution

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

Solution steps

\frac{d}{d x} (2 x - 5 x^{\frac{3}{4}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 x) - \frac{d}{d x} (5 x^{\frac{3}{4}})

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

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

= 2 - \frac{15}{4 x ^{\frac{1}{4}}}

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Frequently Asked Questions (FAQ)

What is the derivative of f(x)=2x-5x^{3/4} ?
The derivative of f(x)=2x-5x^{3/4} is 2-(15)/(4x^{1/4)}
What is the first derivative of f(x)=2x-5x^{3/4} ?
The first derivative of f(x)=2x-5x^{3/4} is 2-(15)/(4x^{1/4)}