The derivative of cos(x^4) is equal to -4x^3 sin(x^4). In this post, we will find the derivative of cosx^4 by the chain rule. Derivative of cos(x^4) To find the derivative of cos(x^4), we will use the chain rule of derivatives. The chain rule is used to find the derivative of a composite function which we … Read more
The derivative of 5x is equal to 5x ln5. Here, ln denotes the natural logarithm (logarithm with base e). In this post, we will find the derivative of 5 to the power x. Derivative of 5x Formula As we know that the derivative of ax is ax ln a, the formula for the derivative of … Read more
The derivative of pi is zero, that is, d/dx(π)=0. Note that pi is denoted by π. In this post, we will learn how to find the derivative of π. Derivative of pi Formula The formula for the derivative of $\pi$ is $0$. This formula can be written as follows: $\dfrac{d}{dx}(\pi)=0$ or $(\pi)’=0$. Here, the prime … Read more
The derivative of tan3x is equal to 3sec2 3x. In this post, we will find the derivative of tan3x by the first principle i.e., by the limit definition of derivatives. The first principle of derivatives says that if f(x) is a differentiable function of x, then its derivative is given by the limit below: $\dfrac{d}{dx}(f(x))$$=\lim\limits_{h\to … Read more
The derivative of sin4x is equal to 4cos4x. In this post, we will find the derivative of sin4x by the first principle, that is, by the limit definition of derivatives. The limit definition (i.e., first principle) of derivatives tells us that the derivative of a function f(x) is given by the following limit: $\dfrac{d}{dx}(f(x))$$=\lim\limits_{h\to 0} … Read more
The derivative of cos4(x) is equal to -4cos3(x) sinx. In this post, we will learn how to find the derivative of cos to the power 4 of x. Derivative of cos4x Formula The derivative of $\cos^4(x)$ is denoted by $\dfrac{d}{dx}(\cos^4 x)$ or $(\cos^4 x)’$. The formula of the derivative of cos^4(x) is given below: $\dfrac{d}{dx}(\cos^4 … Read more
The derivative of sin5x is equal to 5sin4x cosx. In this post, we will learn how to differentiate sin5x, that is, sine to the power 5 of x. Derivative of sin5x Formula: The derivative of sin5x is denoted by $\dfrac{d}{dx}(\sin^5 x)$ or $(\sin^5 x)’$. The formula of the derivative of sin5x is given below: $\dfrac{d}{dx}(\sin^5 x)=5\sin^4 … Read more
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