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# Differentiating tanh [Solved!]

### My question

what the answer if we differentiate y = tanh (x-9)?

### Relevant page

Differentiation of Transcendental Functions

### What I've done so far

I tried to find this on IntMath, but couldn't.

X

what the answer if we differentiate y = tanh (x-9)?
Relevant page

<a href="/differentiation-transcendental/differentiate-transcendental-intro.php">Differentiation of Transcendental Functions</a>

What I've done so far

I tried to find this on IntMath, but couldn't.

## Re: Differentiating tanh

Hello Haida

This is not "tan", but "tanh".

IntMath doesn't include the hyperbolic functions (yet), but you can see the formula for differentiating tanh x at:

Table of Derivatives

Your situation is a function of function situation. Do you think you can do it now?
Good luck with it.

Regards

M Bourne

X

Hello Haida

This is not "tan", but "tanh".

IntMath doesn't include the hyperbolic functions (yet), but you can see the formula for differentiating tanh x at:

<a href="/differentiation-transcendental/table-derivatives.php">Table of Derivatives</a>

Your situation is a function of function situation. Do you think you can do it now?
Good luck with it.

Regards

M Bourne

## Re: Differentiating tanh

I think it's

Put u=x-9 so y= tanh u.

Then dy/dx = dy/(du) (du)/dx

 = (1-tanh^2 u)(du)/dx = 1 - tanh^2(x-9).

Is it OK?

X

I think it's

Put u=x-9 so y= tanh u.

Then dy/dx = dy/(du) (du)/dx

= (1-tanh^2 u)(du)/dx = 1 - tanh^2(x-9).

Is it OK?

## Re: Differentiating tanh

Yes, you've nailed it.

Well done.

X

Yes, you've nailed it.

Well done.