What is the derivative of 6(x+2)^{1/2} ?

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

What is the first derivative of 6(x+2)^{1/2} ?

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

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derivative of

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

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

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

\frac{d}{d x} (x + 2) = 1

= 6 \cdot \frac{1}{2 ( x + 2 ) ^{\frac{1}{2}}} \cdot 1

Simplify

6 \cdot \frac{1}{2 ( x + 2 ) ^{\frac{1}{2}}} \cdot 1 : \frac{3}{( x + 2 ) ^{\frac{1}{2}}}

= \frac{3}{( x + 2 ) ^{\frac{1}{2}}}

\int_{0}^{6} x^{2} 36 - x^{2} d x

y = \frac{3 x ^{5} - 7 x ^{2} - 4}{x ^{2}}

\frac{d}{d x} (4^{e^{x}})

e^{-, at}

y^{^{''}} + 4 y = 3 sec (2 x)

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