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Popular >

derivative of sqrt(1+36x)

Solution

\frac{d}{d x} (1 + 36 x)

Solution

\frac{18}{1 + 36 x}

Solution steps

\frac{d}{d x} (1 + 36 x)

Apply the chain rule:

\frac{1}{2 1 + 36 x} \frac{d}{d x} (1 + 36 x)

= \frac{1}{2 1 + 36 x} \frac{d}{d x} (1 + 36 x)

\frac{d}{d x} (1 + 36 x) = 36

= \frac{1}{2 1 + 36 x} \cdot 36

Simplify

\frac{1}{2 1 + 36 x} \cdot 36 : \frac{18}{1 + 36 x}

= \frac{18}{1 + 36 x}

Popular Examples

integral of 1/(x^2-12)

\int \frac{1}{x ^{2} - 12} d x

integral of (x+4)/(x^3+3x^2-10x)

\int \frac{x + 4}{x ^{3} + 3 x ^{2} - 10 x} d x

integral of-3pisin(pi)x

\int - 3 π sin (π) x d x

tangent of f(x)=-2sin(x),\at x= 3/4 pi tangent of

f (x) = - 2 sin (x), at x = \frac{3}{4} π

x^2y^'+4/3 xy=-2cos(2x)y^{-1/2}

x^{2} y^{^{'}} + \frac{4}{3} x y = - 2 cos (2 x) y^{- \frac{1}{2}}

Frequently Asked Questions (FAQ)

What is the derivative of sqrt(1+36x) ?
The derivative of sqrt(1+36x) is (18)/(sqrt(1+36x))
What is the first derivative of sqrt(1+36x) ?
The first derivative of sqrt(1+36x) is (18)/(sqrt(1+36x))