What is the derivative of 4sqrt(x)+8x^{3/4} ?

The derivative of 4sqrt(x)+8x^{3/4} is 2/(x^{1/2)}+6/(x^{1/4)}

What is the first derivative of 4sqrt(x)+8x^{3/4} ?

The first derivative of 4sqrt(x)+8x^{3/4} is 2/(x^{1/2)}+6/(x^{1/4)}

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\frac{d}{d x} (4 x + 8 x^{\frac{3}{4}})

\frac{2}{x ^{\frac{1}{2}}} + \frac{6}{x ^{\frac{1}{4}}}

Solution steps

\frac{d}{d x} (4 x + 8 x^{\frac{3}{4}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x) + \frac{d}{d x} (8 x^{\frac{3}{4}})

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

\frac{d}{d x} (8 x^{\frac{3}{4}}) = \frac{6}{x ^{\frac{1}{4}}}

= \frac{2}{x ^{\frac{1}{2}}} + \frac{6}{x ^{\frac{1}{4}}}

x \to 2 lim ([f (x) + 5 g (x)])

\int csc (x) \cdot cot (x) d x

(2^{x})^{^{'}}

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

y^{^{''}} + 2 y = - 12 x

What is the derivative of 4sqrt(x)+8x^{3/4} ?
The derivative of 4sqrt(x)+8x^{3/4} is 2/(x^{1/2)}+6/(x^{1/4)}
What is the first derivative of 4sqrt(x)+8x^{3/4} ?
The first derivative of 4sqrt(x)+8x^{3/4} is 2/(x^{1/2)}+6/(x^{1/4)}