Question

Meaning of implicit differentiation

Answer 1

Functions can be of two types.. (remember a simple non technical def of function is how a variable y changes with some variable x.. so its like you keep changing x, and you wanna see what happens to y, we say y is function of x)

if i denote this function this way y = 3x + 5
then.. what i have done is EXPLICITLY defined the function y.. (its like i cannot make it ANY MORE CLEAR WHAT y is.. we even use this.. we say "I EXPLICITLY TOLD YOU not to run away from house didn't i??)

now instead imagine you have a function

3y + x = 5sin(xy)
look at this bad boy function.. if you ask yourself.. hmm what is y?.. you dunno exactly cause its EXPLICITLY not defined.. we call this as an implicit function

Answer 2

@Mashy thank u so much

Answer 3

No problems!