What is the derivative of 42x^{1/2} ?

The derivative of 42x^{1/2} is (21)/(x^{1/2)}

What is the first derivative of 42x^{1/2} ?

The first derivative of 42x^{1/2} is (21)/(x^{1/2)}

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derivative of

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

\frac{21}{x ^{\frac{1}{2}}}

Solution steps

\frac{d}{d x} (42 x^{\frac{1}{2}})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 42 \frac{d}{d x} (x^{\frac{1}{2}})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 42 \cdot \frac{1}{2} x^{\frac{1}{2} - 1}

Simplify

42 \cdot \frac{1}{2} x^{\frac{1}{2} - 1} : \frac{21}{x ^{\frac{1}{2}}}

= \frac{21}{x ^{\frac{1}{2}}}

\frac{1}{r}

\frac{d}{d n} (\frac{n !}{7 ^{n}})

1 + x tan (x)

3 x^{2} - 5 x^{3} + 4 x^{20}

y = e^{4} + ln (x)

What is the derivative of 42x^{1/2} ?
The derivative of 42x^{1/2} is (21)/(x^{1/2)}
What is the first derivative of 42x^{1/2} ?
The first derivative of 42x^{1/2} is (21)/(x^{1/2)}