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sin h Use the definition of the derivative and the fact that lim cos(h)-1 =1 and lim = 0 to show that if h→0 h h→0 h f(x) = sin x, then f'(x) = cos x. (Hint: sin(a + b) = sin(a) cos(b) + cos(a) sin(b))

sin h Use the definition of the derivative and the fact that lim cos(h)-1 =1 and lim = 0 to show that if h→0 h h→0 h f(x) = sin x, then f'(x) = cos x. (Hint: sin(a + b) = sin(a) cos(b) + cos(a) sin(b))

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
Section4.6: Derivatives Of Trigonometric Functions
Problem 34E
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sin h Use the definition of the derivative and the fact that lim cos(h)-1 =1 and lim = 0 to show that if h→0 h h→0 h f(x) = sin x, then f'(x) = cos x. (Hint: sin(a + b) = sin(a) cos(b) + cos(a) sin(b))
Transcribed Image Text:sin h Use the definition of the derivative and the fact that lim cos(h)-1 =1 and lim = 0 to show that if h→0 h h→0 h f(x) = sin x, then f'(x) = cos x. (Hint: sin(a + b) = sin(a) cos(b) + cos(a) sin(b))
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