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-5 10 ↑y 1 f(x) g(x) 1. Given f (x) and g(x) are both piecewise functions as shown in the graph above, if h (x) = f (x) · g(x) find h' (1). 710

-5 10 ↑y 1 f(x) g(x) 1. Given f (x) and g(x) are both piecewise functions as shown in the graph above, if h (x) = f (x) · g(x) find h' (1). 710

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 37E
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I need an explanation. On how they found the points on the graph, and also why they found h'(-1) even though h'(1) was asked to be found. 

-5 101 1 10- 1 f(x) 1. Given f (x) and g (x) are both piecewise functions as shown in the graph above, if h (x) = f (x) · g(x) find h' (1). Solution: f(-1) = -8 f' (-1) = 3 (Remember the derivative is the slope of the tangent line at x = -1). g (-1) = 4 g' (-1) = -1 (Remember the derivative is the slope of the tangent line at a - h' (-1) = f(-1) · g (-1) + g(−1). f' (-1) h' (-1) = (-8) (-1) + (4) (3) h' (-1) = 20 g(x) -1).
Transcribed Image Text:-5 101 1 10- 1 f(x) 1. Given f (x) and g (x) are both piecewise functions as shown in the graph above, if h (x) = f (x) · g(x) find h' (1). Solution: f(-1) = -8 f' (-1) = 3 (Remember the derivative is the slope of the tangent line at x = -1). g (-1) = 4 g' (-1) = -1 (Remember the derivative is the slope of the tangent line at a - h' (-1) = f(-1) · g (-1) + g(−1). f' (-1) h' (-1) = (-8) (-1) + (4) (3) h' (-1) = 20 g(x) -1).
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