What is the derivative of 6x^2+3x^{3/4} ?

The derivative of 6x^2+3x^{3/4} is (9+48x^{5/4})/(4x^{1/4)}

What is the first derivative of 6x^2+3x^{3/4} ?

The first derivative of 6x^2+3x^{3/4} is (9+48x^{5/4})/(4x^{1/4)}

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derivative of

6 x^{2} + 3 x^{\frac{3}{4}}

\frac{9 + 48 x ^{\frac{5}{4}}}{4 x ^{\frac{1}{4}}}

Solution steps

\frac{d}{d x} (6 x^{2} + 3 x^{\frac{3}{4}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (6 x^{2}) + \frac{d}{d x} (3 x^{\frac{3}{4}})

\frac{d}{d x} (6 x^{2}) = 12 x

\frac{d}{d x} (3 x^{\frac{3}{4}}) = \frac{9}{4 x ^{\frac{1}{4}}}

= 12 x + \frac{9}{4 x ^{\frac{1}{4}}}

Simplify

12 x + \frac{9}{4 x ^{\frac{1}{4}}} : \frac{9 + 48 x ^{\frac{5}{4}}}{4 x ^{\frac{1}{4}}}

= \frac{9 + 48 x ^{\frac{5}{4}}}{4 x ^{\frac{1}{4}}}

\frac{d}{d n} (i^{2 n + 3})

\frac{d}{d c} (1.8 c + 32)

\frac{x + 2}{x}

\frac{1}{e ^{2} x}

2 arctan (\frac{x}{2})

What is the derivative of 6x^2+3x^{3/4} ?
The derivative of 6x^2+3x^{3/4} is (9+48x^{5/4})/(4x^{1/4)}
What is the first derivative of 6x^2+3x^{3/4} ?
The first derivative of 6x^2+3x^{3/4} is (9+48x^{5/4})/(4x^{1/4)}