Question

7-3y = t^2

Differentiate w.r.t to y on both sides
@ganeshie8 @Johnbc

Answer 1

\[\large \dfrac{d}{dy} \left(7-3y\right) = \dfrac{d}{dy}\left(t^2\right)\]

Answer 2

\( \Large
\frac {d}{dy}(7-3y) = \frac {d}{dy}t^2 \\ \Large
-3 = 2t\frac {dt}{dy}
\)

Answer 3

7 is a number constant,
whats the derivative of a number with respect to variable ?

Answer 4

does the value of 7 change as the variable y changes ?

Answer 5

I got that , but R.H.S

Answer 6

you have a different variable on RHS, so you need to use chain rule

Answer 7

@Johnbc told we treat it as constant

Answer 8

In integration.

Answer 9

we treat it as constant if t does not depend on y,
but here we have `t = f(y) `

Answer 10

You have 2 different variables multiplied by each other in this problem so for the derivative you would need to apply the chain rule

Answer 11

ohk , thanks