Derivative of sinhx: Formula, Proof | sinhx Derivative

The derivative of sinhx, denoted by d/dx(sinhx), is equal to coshx. In this post, we will learn how to differentiate sinh(x), i.e, how to find the derivative of the hyperbolic sine function with respect to x. The derivative formula of sinhx is given as follows: d/dx[sinhx] = coshx. Before differentiating sinh(x), let us first recall … Read more

Derivative of tanhx: Formula, Proof | tanhx Derivative

The derivative of tanh(x), denoted by d/dx tanh(x), is equal to sech2x. In this post, we will learn how to differentiate tanh(x), i.e, how to find the derivative of the hyperbolic tan function with respect to x. The derivative formula of tanh(x) is given as follows: d/dx[tanh(x)] = sech2x. How to Differentiate tanh(x) As tanh … Read more

Derivative of cot^2x by First Principle

The derivative of cot^2x is -2cotx cosec2x. Here we find the derivative of cot square x by the first principle of derivatives. Differentiation of cot square x by the first principle will be computed as follows. Derivative of cot square x by First Principle By first principle, the derivative of f(x) is given by the … Read more

Derivative of tan^2x by First Principle

The derivative of tan^2x is 2tanx sec2x. Here we will find the derivative of tan square x by the first principle of derivatives. The first principle says that the derivative of a function f(x) is given by the following limit formula: $\dfrac{d}{dx}(f(x))$ = limh→0 $\dfrac{f(x+h)-f(x)}{h}$ …(I) Let us now learn how to differentiate tan square … Read more

Derivative of tan square x | tan^2x derivative

The derivative of tan square x is equal to 2tanx sec2x. Here we find the derivative of tan2x by the chain and product rule. The derivative formula of tan square x is given below: $\dfrac{d}{dx}(\tan^2 x)=2 \tan x \sec^2x$. What is the derivative of tan square x? Let us find the derivative of tan2x by … Read more

Derivative of sinx cosx | Sinx cosx Derivative

The derivative of sinx cosx is equal to cos2x. Here we learn to find the differentiation of sinx cosx by the product rule. The derivative formula of the product sinx cosx is given as follows: $\dfrac{d}{dx}$(sinx cosx) = cos2x. Find the Derivative of sinx cosx We know that sin2x = 2 sinx cosx. Thus, it … Read more

Derivative of tan2x by First Principle

The derivative of tan2x is equal to 2sec22x. Here we will prove this by the first principle. In this post, we will learn how to differentiate tan2x with respect to x. The derivative of tan2x formula is given by $\dfrac{d}{dx}(\tan 2x)$ = 2sec22x. Differentiate tan2x Using First Principle To differentiate tan2x using the first principle, … Read more

Derivative of sin cube x | sin^3x Derivative

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

Derivative of cos3x by First Principle

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

Derivative of 1/x: Proof by First Principle

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