What is the derivative of 4-(15/(4x^{1/4)}) ?

The derivative of 4-(15/(4x^{1/4)}) is (15)/(16x^{5/4)}

What is the first derivative of 4-(15/(4x^{1/4)}) ?

The first derivative of 4-(15/(4x^{1/4)}) is (15)/(16x^{5/4)}

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\frac{d}{d x} (4 - \frac{15}{4 x ^{\frac{1}{4}}})

\frac{15}{16 x ^{\frac{5}{4}}}

Solution steps

\frac{d}{d x} (4 - \frac{15}{4 x ^{\frac{1}{4}}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4) - \frac{d}{d x} (\frac{15}{4 x ^{\frac{1}{4}}})

\frac{d}{d x} (4) = 0

\frac{d}{d x} (\frac{15}{4 x ^{\frac{1}{4}}}) = - \frac{15}{16 x ^{\frac{5}{4}}}

= 0 - (- \frac{15}{16 x ^{\frac{5}{4}}})

Simplify

= \frac{15}{16 x ^{\frac{5}{4}}}

\frac{d}{d x} (x^{3} + 3 x^{2} - 8)

\int 3 cos^{3} (2 x) d x

e^{x} cos (x)

\frac{d}{d t} (2)

f (x) = (- 9 x^{3} + 2 x^{2})^{5}

What is the derivative of 4-(15/(4x^{1/4)}) ?
The derivative of 4-(15/(4x^{1/4)}) is (15)/(16x^{5/4)}
What is the first derivative of 4-(15/(4x^{1/4)}) ?
The first derivative of 4-(15/(4x^{1/4)}) is (15)/(16x^{5/4)}