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Popular >

derivative of sqrt(17x^2+9)

Solution

\frac{d}{d x} (17 x^{2} + 9)

Solution

\frac{17 x}{17 x ^{2} + 9}

Solution steps

\frac{d}{d x} (17 x^{2} + 9)

Apply the chain rule:

\frac{1}{2 17 x ^{2} + 9} \frac{d}{d x} (17 x^{2} + 9)

= \frac{1}{2 17 x ^{2} + 9} \frac{d}{d x} (17 x^{2} + 9)

\frac{d}{d x} (17 x^{2} + 9) = 34 x

= \frac{1}{2 17 x ^{2} + 9} \cdot 34 x

Simplify

\frac{1}{2 17 x ^{2} + 9} \cdot 34 x : \frac{17 x}{17 x ^{2} + 9}

= \frac{17 x}{17 x ^{2} + 9}

Graph

Popular Examples

limit as x approaches 10 of 2f(x)

x \to 10 lim (2 f (x))

2y^{''}+y^'-y=x+5,y(0)=1,y^'(0)=0

2 y^{^{''}} + y^{^{'}} - y = x + 5, y (0) = 1, y^{^{'}} (0) = 0

derivative of 1/(5x^4)

\frac{d}{d x} (\frac{1}{5 x ^{4}})

derivative of e^{-ln(x})

\frac{d}{d x} (e^{- l n (x)})

integral from-1 to 3 of (x^3+2x-5)

\int_{- 1}^{3} (x^{3} + 2 x - 5) d x

Frequently Asked Questions (FAQ)

What is the derivative of sqrt(17x^2+9) ?
The derivative of sqrt(17x^2+9) is (17x)/(sqrt(17x^2+9))
What is the first derivative of sqrt(17x^2+9) ?
The first derivative of sqrt(17x^2+9) is (17x)/(sqrt(17x^2+9))