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
The derivative of 1/sinx is equal to -cosecx cotx. In this post, we will learn how to differentiate 1 by sinx with respect to x. What is the Derivative of 1/sinx? Answer: The derivative of 1/sinx with respect to x is denoted by d/dx(1/sinx) and it is equal to -cosec(x)cot(x). That is, $\dfrac{d}{dx}(\dfrac{1}{\sin x})$ = … Read more
The derivative of the modulus of sinx is equal to (sinx cosx)/|sinx|. In this post, we will learn how to differentiate mod sinx, that is, how to find d/dx(|sinx|). Mod sinx Derivative Formula The derivative of mod sinx is given below: $\dfrac{d}{dx}(|\sin x|)=\dfrac{\sin x \cos x}{|\sin x|}$, provided that sinx is non-zero. Before proving this … Read more
The derivative of x^sinx (x to the power sinx) is equal to xsinx[sinx/x + cosx logx]. Here we learn how to differentiate x^sinx. Derivative of xsinx Formula xsinx Derivative Formula: The formula of xsinx derivative is given by d/dx(xsinx) = xsinx[sinx/x + cosx logx] Let us now give a proof of this fact. Derivative of … Read more
The derivative of 1/(cube root of x) is equal to $-\dfrac{1}{3\sqrt[3]{x^4}}$. Note that 1/(cube root of x) can be written mathematically as $\frac{1}{\sqrt[3]{x}}$. In this post, we will learn how to differentiate 1/(cube root of x). Derivative of 1/cube root x by Power Rule To find the derivative of 1/cube root of x, we will … Read more