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Popular >

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

Solution

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

Solution

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

Solution steps

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

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

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

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

Popular Examples

derivative of (3.3x+5)^{0.37}derivative of

(3.3 x + 5)^{0.37}

derivative of 1/(2x^{5/2})

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

y^{^{'}} = (y + 9 x)^{2}

inverse oflaplace ((e^{-2s}))/s inverse laplace

\frac{( e ^{- 2 s} )}{s}

integral of-2x^5-5x^3+3x^2+1-4e^x

\int - 2 x^{5} - 5 x^{3} + 3 x^{2} + 1 - 4 e^{x} d x

Frequently Asked Questions (FAQ)

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