d/dx theory plz can u explain me by a problem
Answers
Answer:
The oral form "dy dx" is often used conversationally, although it may lead to confusion.) In Lagrange's notation, the derivative with respect to x of a function f(x) is denoted f'(x) (read as "f prime of x") or fx′(x) (read as "f prime x of x"), in case of ambiguity of the variable implied by the differentiation.
Step-by-step explanation:
i hope this will help you
ANSWER:
d/dx is somewhat of an operator which means “differentiate whatever is next to it with respect to x". You can put anything in front of it, from a variety of functions to constant numbers to functions in other variables etc.
dy/dx specifically means that you are differentiating y with respect to x. Y again can be anything.
The chain rule is important. If you have a composite function, you'll have to differentiate it in such a way that you have to handle both the change of output as well as the change of its input because the input will be another function which will be changing with respect to x.
Chain rule sounds dangerous but is actually quite easy. First differentiate the outermost function, keeping the interiors intact. Move onto the next function and do the same thing while multiplying it with the previous result. Keep repeating this until you run out of functions to differentiate.