The graphs of f(x) and g(x) are shown below. Sketch a graph of the derivative f '(x) and g'(x). The graph of first derivative of a given functiong(x)can be constructed using the following information, 1. Ifg(x)has a maxima or minima at a point ...
Which graph is an antiderivative of f? The graphs of a function f and its derivative f' are shown. Which is bigger, f'(-1) or f''(1)? Below is the graph of f(x). Find the following. \lim_{x\to 4^-}f(x)\\ \lim_{x\to 4}f(x)\\ f...
Our goal was to gain understanding of three calculus students' mental processes and images used to create meaning for derivative graphs. We contrast the thinking processes of these three students as they attempted to sketch antiderivative graphs when presented with derivative graphs. These students ...
AntiderivativeDerivative Replies: 1 Forum:Calculus Partial Derivatives: Solve Homework Quickly Homework Statement So I know I have to take the derivative with respect to x, then respect to y, then respect to z, but I am not getting the right answer. I know that the answer is 0 and my pro...
Maybe mine wasn't very clear.What does that fact (resemblence of areas beneath the graphs) got to do with (ex)′=ex ? Daniel. Feb 10, 2005 #9 tongos 84 0 the antiderivative of e^x is equal to e^x+C. The derivative of the antiderivative is equal to e^x. Feb 10, 2005 #...
Answer and Explanation:1 Given: y=ln(|cos−1x|) The objective is to find... Learn more about this topic: Inverse Trig Integrals | Formulas, Graphs & Examples from Chapter 18/ Lesson 5 88K Find the inverse trig integrals using the derivative of inverse trig identities. Learn through some...
Does every continuous function have a derivative and does every continuous function have an antiderivative? Sketch the graph of the function y = f(x) with properties i. through iv. i. The domain of f is [0,5]. ii. \lim_{x \...
Find the derivative and antiderivative of the function. f(x) = 3x^4. Find the derivative and antiderivative of the function. f(x) = 6e^{3x}-4/e^x Find the derivative and antiderivative of x^2. Find the derivative of the function. g(x) = integral of cos(t^2)dt from...
Find the function f(x) and sketch the graph of it. The Fundamental Theorem of Calculus, Part 1: If f is continuous on {a, b}, then the function g defined by g(x) = \int_a^x f(t)dt , a \leq x \leq b is an antiderivative of f Sketch ...
Answer and Explanation:1 Given the graph of a functiony=f(x). We need to determine the graph of the derivative of the function. Since the curve is... Learn more about this topic: Slope of a Line | Meaning, Calculation & Examples ...