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Popular >

derivative of y=xsqrt(2x+3)

Solution

derivative of

y = x 2 x + 3

Solution

\frac{3 x + 3}{2 x + 3}

Solution steps

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = 2 x + 3

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

\frac{d x}{d x} = 1

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

= 1 \cdot 2 x + 3 + \frac{1}{2 x + 3} x

Simplify

1 \cdot 2 x + 3 + \frac{1}{2 x + 3} x : \frac{3 x + 3}{2 x + 3}

= \frac{3 x + 3}{2 x + 3}

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x \to \frac{π}{2} lim (e^{s i n (x)})

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x \to 0 lim (\frac{x cos ( x )}{x})

derivative of 3/(x^2+9)

\frac{d}{d x} (\frac{3}{x ^{2} + 9})

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Frequently Asked Questions (FAQ)

What is the derivative of y=xsqrt(2x+3) ?
The derivative of y=xsqrt(2x+3) is (3x+3)/(sqrt(2x+3))
What is the first derivative of y=xsqrt(2x+3) ?
The first derivative of y=xsqrt(2x+3) is (3x+3)/(sqrt(2x+3))