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find dy/dx by implicit differentiation

0 votes
a) tan(x-y)= y/(1+x^2)

b) tan^-1 (e^(-y) + e^(y))=x^2
asked Feb 28, 2015 in CALCULUS by anonymous

2 Answers

0 votes

Step 1:

(a) The function is .

Quotient Rule of derivatives: .

Apply derivative on each side with respect to .

image

Bring the terms containing image on one side.

image

Solution :

.

answered Feb 28, 2015 by cameron Mentor
0 votes

Step 1:

(b) The function is image .

Derivative formula:image.

image

Apply derivative on each side with respect to .

image

image

Solution :

image.

answered Feb 28, 2015 by cameron Mentor

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