The derivative of sin cube x is equal to 3sin2x cosx. Here we learn how to differentiate sin^3x. The sin^3x derivative formula is d/dx(sin3x) = 3sin2x cosx. The derivative of sine cube x is denoted by d/dx(sin3x) 0r (sin3x)$’$ and it is equal to Derivative of sin3x by Chain Rule To find the derivative of … Read more
The derivative of cos3x is equal to -3sin3x. Here we learn how to differentiate cos3x and find the derivative of cos3x by first principle. Derivative Formula of cos3x The formula of the derivative of cos3x is given by d(cos3x)/dx = -3sin3x. That is, the derivative of cos3x is equal to the negative of three times … Read more
The derivative of 1/x is equal to -1/x2. In this blog post, we will learn how to find the differentiation of 1/x. Derivative of 1/x Formula: The formula of the derivative of 1/x is given by d/dx(1/x) = -1/x2. Let us find the differentiation of 1/x by first principle which is equal to -1/x2. Derivative … Read more
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
The derivative of arc(cotx) is equal to -1/(1+x2). In this post, we will learn how to differentiate cot inverse x. The derivative formula of cot-1x is given by d/dx (cot-1x) = -1/(1+x2). What is the derivative of arc cotx? Answer: The derivative of arccotx is -1/(1+x2). Solution: Let y = arc cotx …(∗) As we … 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