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Assume x and y are both differentiable functions of t and 3x^9y=30

0 votes
1. find dy/dt if dx/dt=6 and x=1

2. Find dx/dy if dy/dt=9 and y=2
asked Jul 1, 2016 in CALCULUS by anonymous
reshown Jul 1, 2016 by goushi

2 Answers

0 votes

Step 1:

The differential function is image.

Rewrite the differential function is image.

Apply derivative on each side with respect to image.

image

Use power rule : image.

image

or

image

(1)

Step 2:

Find the value of image when image and image.

Substitute image and image in image.

image

Solution :

image

answered Jul 1, 2016 by Anney Mentor
0 votes

(2)

Step 1:

Here consider image not image.

Find the value of image when image and image.

Substitute image and image in image

image

Find image.

Substitute image and image in the image.

image

Solution :

image

image

answered Jul 1, 2016 by Anney Mentor

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