Question

give me some rules of calculus in class 11. it's an urgent.

Answer 1

Differentiation Rules

Some of the basic differentiation rules that need to be followed are as follows.

 

(i) Sum or Difference Rule

If the function is sum or difference of two functions, the derivative of the functions is the sum or difference of the individual functions, i.e.,

If f(x)=u(x)±v(x)

then, f'(x)=u'(x)±v'(x)

 

(ii) Product Rule

If the function f(x) is product of two functions u(x) and v(x), the derivative of the function is,

If f(x)=u(x)×v(x)

then, f′(x)=u′(x)×v(x)+u(x)×v′(x)

 

(iii) Quotient rule

If the function f(x) is in the form of two functions [u(x)]/[v(x)], the derivative of the function is

If, f(x)=u(x)v(x)

then, f′(x)=u′(x)×v(x)–u(x)×v′(x)(v(x))2

 

Chain Rule-

If a function y = f(x) = g(u) and if u = h(x), then,

dydx=dydu×dudx

Answer 2

You must know about:
1. Functions
2. Graph's
3. Integration
4.Limits and continuty