What is the derivative of x^{1/4}-2 ?

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

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

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

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= \frac{1}{4 x ^{\frac{3}{4}}} - 0

Simplify

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

(y + x^{2} + y^{2}) d x = x d y

\int \frac{6 x ^{2}}{( x ^{6} + 1 ) ( x ^{3} + 1 )} d x

x \to 0 lim (sin (9 x))

f (x) = 2 x^{7}

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