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Popular >

derivative of xsqrt(x+4)

Solution

\frac{d}{d x} (x x + 4)

Solution

\frac{3 x + 8}{2 x + 4}

Solution steps

\frac{d}{d x} (x x + 4)

Apply the Product Rule:

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

f = x, g = x + 4

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

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

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

= 1 \cdot x + 4 + \frac{1}{2 x + 4} x

Simplify

1 \cdot x + 4 + \frac{1}{2 x + 4} x : \frac{3 x + 8}{2 x + 4}

= \frac{3 x + 8}{2 x + 4}

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\frac{d y}{d x} = \frac{x}{7 y}

area 20x-50,2x^2,x=0 area

20 x - 50, 2 x^{2}, x = 0

(dv)/(dt)=4.9-100/3 v

\frac{d v}{d t} = 4.9 - \frac{100}{3} v

integral of 2xarcsin(x)

\int 2 x arcsin (x) d x

y^{''}+2y^'+y=5sin(t)

y^{^{''}} + 2 y^{^{'}} + y = 5 sin (t)

Frequently Asked Questions (FAQ)

What is the derivative of xsqrt(x+4) ?
The derivative of xsqrt(x+4) is (3x+8)/(2sqrt(x+4))
What is the first derivative of xsqrt(x+4) ?
The first derivative of xsqrt(x+4) is (3x+8)/(2sqrt(x+4))