## MTH201 GDB Fall 2023 – GDB – Solution VU

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**MTH201 GDB Fall 2023 solution idea:**

The differentiation and integration process involves multiple variables, rather than once. Let us discuss the definition of multivariable calculus, basic concepts covered in multivariate calculus, applications and problems in this article. differentiation :In calculus, differentiation is one of the two important concepts apart from integration. Differentiation is a method of finding the derivative of a function. Differentiation is a process, in Maths, where we find the instantaneous rate of change in function based on one of its variables. The most common example is the rate change of displacement with respect to time, called velocity. The opposite of finding a derivative is anti-differentiation.

If x is a variable and y is another variable, then the rate of change of x with respect to y is given by dy/dx. This is the general expression of derivative of a function and is represented as f'(x) = dy/dx, where y = f(x) is any function. Integral Calculus: Integral Calculus is the branch of calculus where we study about integrals and their properties. Integration is a very important concept which is the inverse process of differentiation. Both the integral calculus and the differential calculus are related to each other by the fundamental theorem of calculus. In this article, let us discuss what is integral calculus, why is it used for, its types, properties, formulas, examples, and application of integral calculus in detail.

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