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Popular >

derivative of x^{3/4}-2x^{1/4}

Solution

\frac{d}{d x} (x^{\frac{3}{4}} - 2 x^{\frac{1}{4}})

Solution

\frac{3}{4 x ^{\frac{1}{4}}} - \frac{1}{2 x ^{\frac{3}{4}}}

Solution steps

\frac{d}{d x} (x^{\frac{3}{4}} - 2 x^{\frac{1}{4}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{\frac{3}{4}}) - \frac{d}{d x} (2 x^{\frac{1}{4}})

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

\frac{d}{d x} (2 x^{\frac{1}{4}}) = \frac{1}{2 x ^{\frac{3}{4}}}

= \frac{3}{4 x ^{\frac{1}{4}}} - \frac{1}{2 x ^{\frac{3}{4}}}

Graph

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Frequently Asked Questions (FAQ)

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