The derivative of fifth root of x is 1/(5×4/5). In this post, we will learn how to find the derivative of the fifth root x. Here, we will use the power rule of derivatives. Note that the fifth root of x can be written as $\sqrt[5]{x}$ Or, following the rule of indices, the fifth root … Read more
The derivative of 1/lnx is equal to -1/x(lnx)2. In this post, we will learn how to differentiate 1 divided by lnx with respect to x. Let us now find the derivative of 1/lnx using the chain rule and the power rule of derivatives. What is the Derivative of 1/lnx? Answer: The derivative of 1/lnx with … Read more
The derivative of square root of 2x is equal to 1/√(2x). In this post, we will learn how to find the derivative of the square root of 2x. The derivative of the square root of 2x is given by the following formula: $\dfrac{d}{dx}(\sqrt{2x})$ = $\dfrac{1}{\sqrt{2x}}$ Derivative of root 2x by Power Rule To find the … Read more
The derivative of 1/2x is equal to -1/2×2. In this post, we will learn how to find the derivative of 1 divided by 2x. The derivative formula of 1/2x is given by $\dfrac{d}{dx}(\dfrac{1}{2x})= – \dfrac{1}{2x^2}$. Derivative of 1/2x by Power Rule Let us find the derivative of 1 by 2x by the power rule of … Read more
The derivative of root 3x is equal to √3/(2√x). In this post, we will learn how to find the derivative of the square root of 3x. Now, we find the derivative of square root of 3x by the power rule. Derivative of root 3x by Power Rule Let us find the derivative of square root … Read more
Note that arc(cotx) is an inverse trigonometric function. We will find the derivative of arc(cotx) and it is equal to -1/(1+x2). In this post, we will learn how to differentiate the function arc cotx. What is the derivative of arc cotx? Answer: The derivative of arccotx is -1/(1+x2). Solution: [Method 1]: Let y = arc … Read more
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
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
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
The derivative of 1/cos is equal to secx tanx. In this post, we will learn how to differentiate 1 over cosx with respect to x. What is the Derivative of 1/cosx? Answer: The derivative of 1/cosx with respect to x is denoted by d/dx(1/cosx) and it is given below. $\dfrac{d}{dx}(\dfrac{1}{\cos x})$ = $\sec x \tan … Read more