What is the derivative of 5x^{7/4}+5x^{1/3}-2 ?

The derivative of 5x^{7/4}+5x^{1/3}-2 is (105x^{17/12}+20)/(12x^{2/3)}

What is the first derivative of 5x^{7/4}+5x^{1/3}-2 ?

The first derivative of 5x^{7/4}+5x^{1/3}-2 is (105x^{17/12}+20)/(12x^{2/3)}

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derivative of

5 x^{\frac{7}{4}} + 5 x^{\frac{1}{3}} - 2

\frac{105 x ^{\frac{17}{12}} + 20}{12 x ^{\frac{2}{3}}}

Solution steps

\frac{d}{d x} (5 x^{\frac{7}{4}} + 5 x^{\frac{1}{3}} - 2)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 x^{\frac{7}{4}}) + \frac{d}{d x} (5 x^{\frac{1}{3}}) - \frac{d}{d x} (2)

\frac{d}{d x} (5 x^{\frac{7}{4}}) = \frac{35 x ^{\frac{3}{4}}}{4}

\frac{d}{d x} (5 x^{\frac{1}{3}}) = \frac{5}{3 x ^{\frac{2}{3}}}

\frac{d}{d x} (2) = 0

= \frac{35 x ^{\frac{3}{4}}}{4} + \frac{5}{3 x ^{\frac{2}{3}}} - 0

Simplify

\frac{35 x ^{\frac{3}{4}}}{4} + \frac{5}{3 x ^{\frac{2}{3}}} - 0 : \frac{105 x ^{\frac{17}{12}} + 20}{12 x ^{\frac{2}{3}}}

= \frac{105 x ^{\frac{17}{12}} + 20}{12 x ^{\frac{2}{3}}}

(2 x + t) \frac{d x}{d t} + x - 2 t = 0

\int e^{- \frac{x}{b}} d x

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

\frac{d}{d x} (20 x (1 - x)^{3})

\int \frac{1}{( 2 x + 5 ) ^{3}} d x

What is the derivative of 5x^{7/4}+5x^{1/3}-2 ?
The derivative of 5x^{7/4}+5x^{1/3}-2 is (105x^{17/12}+20)/(12x^{2/3)}
What is the first derivative of 5x^{7/4}+5x^{1/3}-2 ?
The first derivative of 5x^{7/4}+5x^{1/3}-2 is (105x^{17/12}+20)/(12x^{2/3)}