differentiate y= arcosh (4+3x)
could anyone help me please . what differentiation rule do i use with this equaiton and what answer should i get please thankyou !!!!
differentiate y= arcosh (4+3x)
could anyone help me please . what differentiation rule do i use with this equaiton and what answer should i get please thankyou !!!!
Hello there,
I assume you mean: $\displaystyle \frac{d}{dx} ( cos^{-1}(4 + 3x)) $.
Recall that $\displaystyle \frac{d}{dx} cos^{-1}(x) = -\frac{1}{\sqrt{1 - x^2}} $.
Be sure to use Chain Rule when differentiating.
Good luck! This should be enough information.
No, this is the inverse of hyperbolic cosine.
Hyperbolic cosine is
$\displaystyle \cosh x={e^x+e^{-x}\over 2}$ and $\displaystyle \sinh x={e^x-e^{-x}\over 2}$
See http://en.wikipedia.org/wiki/Hyperbolic_cosine.
The inverse of cosh can be obtained via algebra, letting $\displaystyle w=e^x$.
But you can see the derivative of the inverse of cosh at that page, then via the chain rule you can solve this problem.
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