Statement of Mean Value Theorem MVT : Let a function be contineous on . differentiable on . then there exist a point such that MVT Proof: Define a new function by where A is a
Derivatives of inverse hyperbolic functions where where where where where where Derivatives of sin inverse hyperbolic function Let. Differentiating w.r.t x Now by using formula. Now by using eq(1) Derivatives of cos inverse hyperbolic function
Here we will discuss derivative of hyperbolic functions: Derivative of sin hyperbolic functions: differentiating w.r.t x Now by using sum and difference rule. This is required derivative of sinhx. Derivative of cos hyperbolic functions: differentiating
Derivative of Trigonometric functions Here will will discuss Derivative of sinx, cosx, tanx, cosecx, secx and cotx functions. Derivative of sinx function dividing on both sides. as we know This is the required derivative of
Binomial expansion: are called meaningless when is negative or fraction and are exponents and is called index. index is always less then one. exponent is always less then one. This series is called Binomial series.
Binomial Theorem: where and are real numbers and are binomial cofficient. and are exponents and is called index. The exponent of decreases from index to zero. The exponent of increases from zero to index. The
Maclaurin series expension. The expension of is called the Maclaurin series expension. The above expansion is called Maclaurin Theorem. Example Apply Maclaurin series expension. Add title The expension of is called the Maclaurin series expension.
A very important special type of relation is a function defined as below: Function in Math: If A and B are two sets the relation f:A\rightarrow B is called function if for every element of
Rolle’s Theorem Statement: let a function be Continuous on the interval . Differentiable on the open interval . then there exist at least one point such that . Proof: since is contineous on , it
Derivative of product rule or differentiation of product rule let where and are function of Derivative of quotient rule or differentiation of quotient rule where and are function of Derivative of power rule or differentiation