Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Test Prep Workbook Update
5th Edition
ISBN: 9780328909148
Author: Prentice Hall
Publisher: Prentice Hall
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DETERMINE THE DERIVATIVE OF THE FOLLOWING FUNCTIONS
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- K 7 Use the fact that the derivative of the function f(x) == is f'(x)= x = -9. (x) = -7/₁ to find the equation of the tangent line to the graph of f(x) at the point The equation of the tangent line to the graph of f(x) at the point x = -9 is.arrow_forwardImplicit Differentiation The equation for the curve graphed to the left is x3 - y3 – 6xy = 0. Keep in mind that y is a function of x. When we take the derivative of y we need to use the chain rule because y depends on x: it may help to write it as Use implicit differentiation to find in terms of the -4 -2 variables x and y.arrow_forwardA function has the derivative f'(x) = 3x2 - 7x + 2. What are the stationary points of f, and their natures. Help fill in the blanks. The x-coordinate of one stationary point is at x = ____. It is a _____. (local maximum, local minimum or horizontal point of inflection). The x-coordinate of the other stationary point is at x = ____. It is a ____. (local maximum, local minimum or horizontal point of inflection).arrow_forward
- Consider the following function. f(x) = x5⁄7 (a)Make a sign diagram for the first derivative. (b)Make a sign diagram for the second derivative.arrow_forwardDo not use technology. The figure below shows the graph of f', the derivative of f. The function f is a twice differentiable function on x E (-∞o, co), f'(-0.8) = 0, and f"(1.3) = 0. -3 (a) For what values of x is f increasing? (Enter your answer using interval notation.) (b) For what values of x is the graph of f concave downward? (Enter your answer using interval notation.)arrow_forwardDERIVATIVESarrow_forward
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