# Thread: One last Dif with respect to x

1. ## One last Dif with respect to x

Hi please could you help me to differentiate with respect to x...

$Y = arcosh (4+3x)$

2. Originally Posted by HNCMATHS
Hi please could you help me to differentiate with respect to x...

$Y = arcosh (4+3x)$
$\dfrac{d}{dx} [arccosh(u)] = \dfrac{1}{\sqrt{u^2-1}} \cdot \dfrac{du}{dx}$

3. Originally Posted by HNCMATHS
Hi please could you help me to differentiate with respect to x...

$Y = arcosh (4+3x)$
Agin, like many of the others, it is a simple application of the chain rule and a standard formula for the derivative of arcosh. (If you are familiar with functions such as arcosh(x) you should surely be familiar with basic techniques of differentiation).