Differential Calculus Differential Calculus In calculus, differentiation is the way to finding the derivatives of the given functions. It means when we use the differentiation rules on some expression it will give us derivative of that expression and these derivative expression are of some degree that means how many times an expression is differentiated. We can say it as if a function f (x) is differentiated two times then it is known as the second degree derivative and higher degree of differentiation is also known as that degree of differentiation. It is very easy to find the derivative of the given expression by using the differentiate calculator that is a online tool that gives the accurate answer in very time efficient manner means it is online help that provide the differentiation of the particular expression that is given into the text box of the online differentiate calculator. It also provide the solver for generate the derivative of the function of any order. There are text boxes provide into the online tool that having the expression and desired order of differentiation entered by the user.
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A differentiate calculator provides the derivatives by calculating the differentiation internally. It follows all the rules of differentiation for calculation of the derivative. There are some examples of solving the differentiation as follows: If we enter the expression as 6 a^2 + 2 a – 19 and want to find the first order derivative then it will solve by using the differentiation rule as: d / d a (6 a^2 + 2 a – 19) = d / d a (6 a ^2) + d / d a (2 a) – d / d a (19) = 6 ( d / d a 2 ^ a) + 2 – 0 =6*2a+2 = 12 a + 2. There are some rules of differentiation that are used in finding the derivative are as follows: As if we want to differentiate any constant value with respect to any differentiation variable gives always zero that means d c / d a = o where c is any constant value. Example d / d x 23 = 0. If we differentiate the multiple of constant then constant value as it is multiplied with the derivative of the function as d / d x (c f) = c (d f / d x) = c f'. Here f' define the first order derivative of the function f. Product rule of the differentiation is define as the sum of the multiplication of the first function with the derivative of other function and multiple of second function with derivative of the first function that is define as:
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d / d x (f (x) . g(X)) = f (x) d / d x ( g (x)) + g (x) d / d x (f (x)). We can define this rule by taking a simple example as: If we have an expression as f(x) = 4 x ^2 + 3 x Then according to the rules of differentiation d / d x (f (x)) = d / d x (4 x^2 + 3 x) = d / d x ( 4 x^2) + d / d x (3 x) = 4 d / d x ( x ^2) + 3 d x / d x = 4 ( 2 x) + 3 = 8 x + 3.
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It also provide the solver for generate the derivative of the function of any order. There are text boxes provide into the online tool that...