The derivative of e cube is zero. Note that e cube is written as e3. In this post, we will learn how to find the derivative of e3. Derivative of e3 Formula The formula for the derivative of e3 is 0. This formula is written below. $\dfrac{d}{dx}(e^3)=0$ or $(e^3)’=0$. Here, the prime $’$ denotes the … Read more
The derivative of e square is zero. Note that e square is denoted by e2. In this post, we will learn how to find the derivative of e2, that is, how to differentiate e square. Derivative of e2 Formula The formula for the derivative of e2 is 0. This formula is written below. $\dfrac{d}{dx}(e^2)=0$ or $(e^2)’=0$. … Read more
The square root of x is an algebraic function. It is denoted by the symbol $\sqrt{x}$. In this article, we will learn its definition, graph, various properties, etc. We will also learn how to find its derivative and integration. Square Root Definition If $B^2=x$, then we say that the number $B$ is a square root … Read more
The derivative of x3 cosx is equal to 3x2cosx – x3sinx. The function x3cosx is the product of two functions x cube and cosx. In this post, we will find the derivative of x3cosx. What is the Derivative of x3cosx? Answer: The derivative of x3cosx is equal to 3x2cosx-x3sinx. Explanation: We will use the product … Read more
The derivative of 1/log x is -1/x(log x)^2. Note that 1/logx is the reciprocal of logx. In this post, we will learn how to find the derivative of 1 divided by log x. What is the Derivative of 1/logx? Answer: The derivative of $1/\log x$ is $-\dfrac{1}{x(\log x)^2}$. Explanation: Step 1: Let $z = 1/\log … Read more
The derivative of x^3 is equal to 3x^2. The function x3 denotes the cube of x. In this post, we will find the derivative of x cube by different methods; for example, by the power rule, by the limit definition of derivatives. Derivative of x3 by Power Rule To find the derivative of x cube, … Read more
The derivative of x is equal to 1. The function f(x)=x denotes the identity function on the set of real numbers. In this post, we will find the derivative of x by different methods; for example, by power rule, by the limit definition of derivatives. Derivative of x by Power Rule We will use the … Read more
The derivative of x2 (x square) by first principle is 2x. The function x2 denotes the square of x. In this post, we will find the derivative of x square. The derivative of x square is denoted by d/dx (x2), and its formula is given below: $\dfrac{d}{dx}$ (x2) = 2x. Derivative of x2 by First … Read more
The derivative of xe-x is equal to (1-x)e-x. In this post, we will find the derivative of xe^-x by the product rule and the first principle of derivatives. Derivative of xe-x by First Principle The derivative of $f(x)=xe^{-x}$by the first principle is given by $(xe^{-x})’$ = limh→0 $\dfrac{(x+h)e^{-(x+h)}-xe^{-x}}{h}$ = limh→0 $\dfrac{xe^{-(x+h)}+he^{-(x+h)}-xe^{-x}}{h}$ = limh→0 $\big(\dfrac{xe^{-(x+h)}-xe^{-x}}{h}$ $+\dfrac{he^{-(x+h)}}{h} … Read more
The derivative of 1 by x square is equal to -2/x3. In this blog post, we will learn how to find the differentiation of 1/x2. What is the Derivative of 1/x2? Let us now find the derivative of 1/x^2 by the power rule of derivatives. The power rule says that $\dfrac{d}{dx}(x^n)=nx^{n-1}$ Step 1: First,we write … Read more