Ap ab calculus Study guides, Class notes & Summaries

AP Calculus AB: Formulas to Know limit defenition of derivative alternate definition of derivative of f(x) at c f(x) is continuous when... f(x) is differentiable at x=c when f prime of x as x aproaches c from the left = f prime of x as a x approaches c from the right power rule

AP CALCULUS AB Midterm Exam With Answers 2024 Find the Zeros - Answer>>f(x)=0 Find the equation of the line tangent to f(x) at (a,b) - Answer>>Get x and y. Get the slope at x. y-y1=m(x-x1) Find the equation of the line normal to f(x) - Answer>>negative reciprocal. Show that f(x) is even. - Answer>>f(x)=f(-x) Show that f(x) is odd - Answer>>f(x)= -f(-x). YES. Thats right. Two negatives

AP Calculus AB - Derivatives

AP Calculus AB - Final Exam Study Guide Definition of a Derivative - Answer>>f'(x) = lim (h goes to zero) [(f(x+h) - f(x))/h] Alternate Form of a Derivative - Answer>>f'(a) = lim (x goes to a) [(f(x) - f(a))/(x-a)] Constant Rule (Definition) - Answer>>If f(x) = c, where c is any real number, then f'(x) = 0. Power Rule (Definition) - Answer>>If f(x) = xⁿ, then f'(x) = nxⁿ⁻¹, where n∈R.

AP Calculus AB Review Chapter. 1-3 Intermediate Value Theorem - Answer>>If f(1)=-4 and f(6)=9, then there must be a x-value between 1 and 6 where f crosses the x-axis. Average Rate of Change - Answer>>Slope of secant line between two points, use to estimate instantanous rate of change at a point. Instantenous Rate of Change - Answer>>Slope of tangent line at a point, value of derivative at a point

AP Calculus AB Study Guide Units 1-8 What is the definition of a derivative? What does the intermediate value theorem state? If the function f(x) is continuous on [a,b], and y is a number between f(a) and f(b), then there exists at least one number x=c in the open interval (a,b) such that f(c)=y. What does the mean value theorem state? If the function f(x) is continuous on [a,b], and the first derivative exists on the interval (a,b) and f(a)=f(b), then there is at least one number x=c ...

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AP Calculus AB Practice Questions with Solutions When you are taking the derivative and there are two things being multiplied together.... - Answer>>Product Rule If the function is increasing, then the first derivative is... - Answer>>positive. If they ask you to find f '(#), what do you do? - Answer>>Find the derivative, then plug that number in.

AP Calculus AB Final Exam Questions and Answers 2024

AP Calculus AB Study Guide