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Popular >

derivative of sqrt(3x+4y)

Solution

\frac{d}{d x} (3 x + 4 y)

Solution

\frac{3 + 4 \frac{d y}{d x}}{2 3 x + 4 y}

Solution steps

\frac{d}{d x} (3 x + 4 y)

Apply the chain rule:

\frac{1}{2 3 x + 4 y} \frac{d}{d x} (3 x + 4 y)

= \frac{1}{2 3 x + 4 y} \frac{d}{d x} (3 x + 4 y)

\frac{d}{d x} (3 x + 4 y) = 3 + 4 \frac{d y}{d x}

= \frac{1}{2 3 x + 4 y} (3 + 4 \frac{d y}{d x})

Simplify

\frac{1}{2 3 x + 4 y} (3 + 4 \frac{d y}{d x}) : \frac{3 + 4 \frac{d y}{d x}}{2 3 x + 4 y}

= \frac{3 + 4 \frac{d y}{d x}}{2 3 x + 4 y}

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\int \frac{30}{( 1 - x ^{2} ) ^{\frac{3}{2}}} d x

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\int 3 x ln (x^{8}) d x

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\int e^{- θ} cos (2 θ) d θ

Frequently Asked Questions (FAQ)

What is the derivative of sqrt(3x+4y) ?
The derivative of sqrt(3x+4y) is (3+4\frac{dy)/(dx)}{2sqrt(3x+4y)}
What is the first derivative of sqrt(3x+4y) ?
The first derivative of sqrt(3x+4y) is (3+4\frac{dy)/(dx)}{2sqrt(3x+4y)}