## Derivative of root tanx by First Principle

The derivative of root tanx is equal to sec2x/(2√tanx). In this post, we will learn how to differentiate the square root of tan x using the first principles. Derivative of square root of tanx from first principle Question: Find the derivative of $\sqrt{\tan x}$ from first principle. Solution: The below steps have to be followed … Read more

## Derivative of root cosx by Chain Rule

The derivative of root cosx is equal to -sinx/(2√cosx).  In this post, we will learn how to differentiate the square root of cos x by the chain rule of derivatives. Derivative of Square Root of cos x by Chain Rule Question: Find the derivative of  $\sqrt{\cos x}$ by the chain rule. Solution: To find the … Read more

## Derivative of root sinx by Chain Rule

The derivative of root sinx is equal to cosx/(2√sinx).  In this post, we will learn how to differentiate square root of sinx by the chain rule of derivatives. Derivative of Square Root of Sin x by Chain Rule Question: Find the Derivative of  $\sqrt{\sin x}$ by the chain rule. Solution: To find the derivative of … Read more

## Limit of (e^x-1)/x as x approaches 0

The limit of (ex-1)/x, when x tends to zero, is equal to 1. That is, we have limx→0 (ex-1)/x = 1. In this post, we will learn to find the limit of the function (ex-1)/x when x approaches to zero. Limit of (e^x-1)/x as x→0 Prove that limx→0 $\dfrac{e^x-1}{x}$ = 1. Proof: Note that when … Read more

## Limit of sinx/x as x approaches infinity

The limit of sinx/x as x approaches infinity is equal to zero. That is, limx→∞ sinx/x = 0. This can be proved using the Squeeze Theorem of limits which will be done here. Limit of sinx/x as x goes to infinity Question: What is the limit of sinx/x when x→∞. Answer: The limit of sinx/x … Read more