Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Student Edition + Mathxl 1-year License
5th Edition
ISBN: 9780133314533
Author: Prentice Hall
Publisher: Prentice Hall
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(Differentiation)
6.1.7.1) Find Slope (Ans. 2)
derivatives
HIGHER DERIVATIVE OF A FUNCTION AT A POINT
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- Find The Derivatives.arrow_forwardderivativesarrow_forward14 The point P(1, 0) lies on the curve y sin (a) of Q is the point (x, sin(14)). find the slope of the secant line PQ (correct to four decimal places) for the following values of x. (1) 2 () 1.5 () 1.4 (v) 1.3 3 3 (v) 1.2 (vi) 1.1 (vi) 0.5 (vi) 0.6 (xx) 0.7 (x) 0.8 (x) 0.9 Do the slopes appear to be approaching a limit? As x approaches 1, the slopes-Select- (b) Use a graph of the curve to explain why the slopes of the secant lines in part (a) are not close to the slope of the tangent line at P. We see that problems with estimation are caused by the --Select- of the graph. The tangent is so steep at P that we need to take x-values (c) By choosing appropriate secant lines, estimate the slope of the tangent line at P. (Round your answer to two decimal places.) Solert. to 1 in order to get accurate estimates of its slope.arrow_forward
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- 1 Find the equation of the tangent line to the curve y 3 5 x3 – -x2 + 6x- 2 11 at its point of intersection with 6. the line 2x – y = 0. Also, find the equation of the normal line(s) corresponding to these points.arrow_forwardTwo ways to solve the slope of the curve 2xy = In(e2*) sin(x) at the point (1,1)|arrow_forwardExer. 27-32: (a) Use f' to prove that f has an inverse function. (b) Find the slope of the tangent line at the point P on the graph of f. 27 f(x) = x² + 3x³ + 2x-1; P(5, 1)arrow_forward
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