Question

Q) e^2y + xy = 4x + 1. find dy/dx and
equation of the tangent to the curve.

Answer 1

At what point?

Answer 2

the origin.

Answer 3

(0,0). Differentiate the function implicitly. Then evaluate it at (0,0).

Answer 4

Can anyone help with differentiating the function?

Answer 5

Not quite.

Answer 6

Ok my latest attempt I get:
dy/dx = 4 - y / e^(2y) + x

I hope that's correct?

Answer 7

Yes, but you are missing a 2 in front of e.

Answer 8

Yep - sorry typo. Finally - hooray! Now for the next part of the Qu.

Answer 9

Simply substitute, 0 for x and y and see the outcome. Well the outcome will be the slope.

Answer 10

Of that line.

Answer 11

That gives me 4/3.

Answer 12

Where would 3 come from??

Answer 13

oops sorry, 4/2 = 2...

Answer 14

That's the SLOPE of that line. Remember how to find the equation of a line when you have the slope and point? From algebra classes in high school.

Answer 15

Yep the equation part is fine. Thanks.

Answer 16

Good good.

Answer 17

y-0=2(x-0)
y=2x

Answer 18

Nice.

Answer 19

Thanks.

Answer 20

Welcome.