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Popular >

derivative of f(x)=sqrt(3x+8)

Solution

derivative of

f (x) = 3 x + 8

Solution

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

Solution steps

\frac{d}{d x} (3 x + 8)

Apply the chain rule:

\frac{1}{2 3 x + 8} \frac{d}{d x} (3 x + 8)

= \frac{1}{2 3 x + 8} \frac{d}{d x} (3 x + 8)

\frac{d}{d x} (3 x + 8) = 3

= \frac{1}{2 3 x + 8} \cdot 3

Simplify

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

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

Popular Examples

derivative of (4-x^2/(3x-2))

\frac{d}{d x} (\frac{4 - x ^{2}}{3 x - 2})

y^{^{'}} = \frac{- 1}{x ^{2}}

sum from n=0 to infinity of 1/5*(-2/3)^n

n = 0 \sum \infty \frac{1}{5} \cdot (- \frac{2}{3})^{n}

tangent of x^2+y^2=25,(-4,3)tangent of

x^{2} + y^{2} = 25, (- 4, 3)

tangent of f(x)=(4x)/(x^2+3),\at x=1 tangent of

f (x) = \frac{4 x}{x ^{2} + 3}, at x = 1

Frequently Asked Questions (FAQ)

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