Factorial of 0 Proof: since we know that where n belongs to positive integer Examples. Now we will prove that Factorial of 0 equal to
Category: Mathematics
Power rule of differentiation Prove that: ; .
Euler’s Theorem Statement: If is a homogeneous function of of degree , then . Proof: we have ,Therefore . . and . . Thus from
Logarithmic Differentiation: Let where both and are variables or function of , the derivative of can be obtained by taking natural logarithms of both of
Explicit Differentiation Explicit function: If is easily expressed in term of the independent variables ,Then is called an Explicit function of . Symbolically it is
Implicit Differentiation: Implicit functions: If and are mixed up and cannot be expressed in terms of the independent variable , Then is called an Implicit
HOMOGENEOUS EQUATION: Each equation of the system of following linear equations . . . is always satisfied by , so such a system is always
Theorem sum and difference rule of derivatives Let and are differentiable at , Then () and () are also differentiable at and That is also
Now we will prove the important formula or rule which are used to determine derivative of different function efficiently. You can prove differentiation in easy
We know that a rational number is a number that can be put in the form of where p, q Z and q ≠ 0.