Math Is Fun Forum

CalculusWANNABE

Member

Registered: 2012-01-29

Posts: 5

NEED***HELP!! Natural Exponential Function

find y' for y=e^tan^x^3

I do not know how to find the derivative of this!!

My answer was e^tan^x^3(cot 3x^2) but believe this is totally wrong

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: NEED***HELP!! Natural Exponential Function

Hi CalculusWANNABE;

I can not understand tan^x^3?

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

CalculusWANNABE

Member

Registered: 2012-01-29

Posts: 5

Re: NEED***HELP!! Natural Exponential Function

tan x to the third power

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: NEED***HELP!! Natural Exponential Function

So you have this?

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

CalculusWANNABE

Member

Registered: 2012-01-29

Posts: 5

Re: NEED***HELP!! Natural Exponential Function

without tan^3. Its tanx^3 sorry for the confusion

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: NEED***HELP!! Natural Exponential Function

No problem, is this what you need?

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

CalculusWANNABE

Member

Registered: 2012-01-29

Posts: 5

Re: NEED***HELP!! Natural Exponential Function

yes

anonimnystefy

Real Member

From: Harlan's World

Registered: 2011-05-23

Posts: 16,049

Re: NEED***HELP!! Natural Exponential Function

hi CalculusWANNABE

use the chain rule:

f(x)=e^x and g(x)=tan(x^3)

(f(g(x)))'=g'(x)*f'(g(x))

now to get g'(x) we use the chain rule again taking:

h(x)=tan x and t(x)=x^3

(h(t(x)))'=t'(x)*h'(t(x))

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“Here lies the reader who will never open this book. He is forever dead.
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: NEED***HELP!! Natural Exponential Function

Hi;

Use the substitution u = tan(x^3) and then use the chain rule.

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

CalculusWANNABE

Member

Registered: 2012-01-29

Posts: 5

Re: NEED***HELP!! Natural Exponential Function

ok thanx so much