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Popular >

derivative of f(x)=sqrt(9+\sqrt{4x)}

Solution

derivative of

f (x) = 9 + 4 x

Solution

\frac{1}{2 x 9 + 2 x}

Solution steps

\frac{d}{d x} (9 + 4 x)

Apply the chain rule:

\frac{1}{2 9 + 4 x} \frac{d}{d x} (9 + 4 x)

= \frac{1}{2 9 + 4 x} \frac{d}{d x} (9 + 4 x)

\frac{d}{d x} (9 + 4 x) = \frac{1}{x}

= \frac{1}{2 9 + 4 x} \cdot \frac{1}{x}

Simplify

\frac{1}{2 9 + 4 x} \cdot \frac{1}{x} : \frac{1}{2 x 9 + 2 x}

= \frac{1}{2 x 9 + 2 x}

Popular Examples

integral of x^5+8x^3-9x^2+7x-5

\int x^{5} + 8 x^{3} - 9 x^{2} + 7 x - 5 d x

integral of-x^3+1/(x^2)

\int - x^{3} + \frac{1}{x ^{2}} d x

integral of (4e^{-3/(x^5)})/(x^6)

\int \frac{4 e ^{- \frac{3}{x ^{5}}}}{x ^{6}} d x

(\partial)/(\partial y)((x+y)e^{y^2})

\frac{\partial}{\partial y} ((x + y) e^{y^{2}})

laplacetransform 3t+4 laplace transform

3 t + 4

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=sqrt(9+\sqrt{4x)} ?
The derivative of f(x)=sqrt(9+\sqrt{4x)} is 1/(2sqrt(x)\sqrt{9+2\sqrt{x)}}
What is the first derivative of f(x)=sqrt(9+\sqrt{4x)} ?
The first derivative of f(x)=sqrt(9+\sqrt{4x)} is 1/(2sqrt(x)\sqrt{9+2\sqrt{x)}}