What is the derivative of $y = ln (2 x + 5)$ $y=ln(2x+5)$ ?

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What is the derivative of $y = ln (2 x + 5)$ $y=ln(2x+5)$ ?

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Answer 1 · 2017-08-31T16:10:31

$\frac{d y}{d x} = \frac{2}{2 x + 5}$ $dy/dx=2/(2x+5)$

Explanation:

$differentiate using the chain rule$ $"differentiate using the "color(blue)"chain rule"$

$given y = g (h (x)) then$ $"given "y=g(h(x))" then"$

$dy/dx=g'(h(x))xxh'(x)larr" chain rule"$

$y=ln(2x+5)$

$rArrdy/dx=1/(2x+5)xxd/dx(2x+5)$

$color(white)(rArrdy/dx)=2/(2x+5)$

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What is the derivative of $y = ln (2 x + 5)$ $y=ln(2x+5)$ ?

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What is the derivative of y=ln(2x+5)y=ln(2x+5)y=ln(2x+5)?

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What is the derivative of $y = ln (2 x + 5)$ $y=ln(2x+5)$ ?