You can find this by applying the product rule and the power rule.What is the Definition of an Antiderivative? The derivative of a function gives the instantaneous rate of change (or slope) of the function at each value of {eq}x {/eq} in the function's domain. It is typical to ...
Find the particular antiderivative of the following derivative that satisfies the given condition. \displaystyle \frac{dy}{dx}=4x^{-3}+3x^{-1}-1;\quad y(1) = 0 Find the particular antiderivative of the following derivative that satisfies ...
Find an antiderivative {eq}F(x){/eq} with {eq}F' (x)= f(x){/eq} and {eq}F(0)=5{/eq}. {eq}f(x) = 24e^{6x}{/eq}. Antiderivative: The process of finding derivative and antiderivative functions are reversible. By integrating a derivative function, we will...
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Answer to: Find the particular antiderivative of the derivative f'(x) = 3x^{-1} - x^{-2} where f(1) = 5. By signing up, you'll get thousands of...
Derivative and integral cancel out each other. It can be used to find areas and volumes of irregular figures. Let f(x) be a function. Then its integral is denoted by ∫f(x)dx.Answer and Explanation: Given Evaluate ∫e2lnx+e2xdx Use the formula nlnx=lnxn and elnx...
Antiderivative refers to the opposite of derivative, which means we have to find the function such that the derivative of the function gives us the original function back. The power rule of integration is given below: ∫xndx...
73K Understand what an antiderivative is and what antiderivative rules are. Use various antiderivative formulas and learn how to do antiderivatives. See the antiderivative chart for common functions and practice solving basic antiderivatives examples. ...
Find an antiderivative F(x) with F′(x)=f(x) and F(1)=0. f(x)=x7 Antiderivative: We can find the derivative of a variety of functions. However, if we have a derivative, we may be interested in returning to our original function. This means that we need to fi...
Answer to: Consider f(x) = |x| . We know that this function does not have a derivative, but it is continuous, so it should have an...