11/19/2023 0 Comments Calculus chain rule helpThe derivative of the composite function is calculated by using the derivative chain rule given below: Their composite will be written as f o g or f(g(x)). For instance, suppose the functions f and g are differentiable. The composite function is a function within a function or a situation in which we are given a function of a function. We use the derivative chain rule when we have to compute the derivative of a composite function. In this article, we will only focus on the derivative chain rule. We also have derivative formulas for logarithmic functions, trigonometric functions, and their inverses. The most prominent rules are the sum/differentiation rule, product rule, quotient rule, exponent rule, power rule, and chain rule. There are several rules of derivatives that make differentiation quite easy. We denote the derivative of a function like this: This is because the slope of the graph tells us the rate of change of the dependent variable (y) with respect to the independent variable (x). While doing the geometric interpretation of the derivatives, we identify the derivative of a function with the slope of its graph. When we find the derivatives of the same function multiple times, then the resulting derivatives are known as higher- order derivatives. It means finding the derivative of a derivative until it is not differentiable any further. We can find the derivatives of the functions as many times as we can. If we find the derivative of a function for the first time, then it is known as the first derivative. The inverse of differentiation is known as integration. The differentiation is quite helpful in solving the complex problems in calculus. The process of finding the derivatives of the functions is known as differentiation which is an important concept in differential calculus. "An instantaneous rate of change of a function at a specific point" The derivative of a function is defined as: Before discussing the chain rule, first, we will recall the definition of derivatives. In this article, we will discuss the derivative chain rule in detail.
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