Graph of the derivative of the sine curve a.? Use the gr? aph of??y =? (see figure) to sketch the graph of the derivative of the sine function. b.? Based upon your graph in part (a), what function equals ?
Step 1 of 3
SOLUTION STEP 1 (a). We need to sketch the derivative of the given sine graph We know that f(x)is the slope of the tangent at the point (x,f(x)) on the graph of f. From this graph we can find that at points x = and at x = 3 the slope is 0. Thus the graph 2 2 of y’ intercepts the x axis at these points. Then we can find that the slope is positive(ie, increasing slope) from x = to x = and f2om x = the slope decreases(ie,negative) upto x = 3and then it again increases upto x = 2 2 2 .Thus the graph of the derivative will be This is the graph of a cosine function. STEP 2 (b).Thus we can see that the derivative of the sine function is cosine function Therefore dxsin x = cos x
Textbook: Calculus: Early Transcendentals
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
The answer to “Graph of the derivative of the sine curve a.? Use the gr? aph of??y =? (see figure) to sketch the graph of the derivative of the sine function. b.? Based upon your graph in part (a), what function equals ?” is broken down into a number of easy to follow steps, and 40 words. This full solution covers the following key subjects: graph, function, Sine, derivative, aph. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. Since the solution to 72AE from 3.1 chapter was answered, more than 349 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. The full step-by-step solution to problem: 72AE from chapter: 3.1 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM.