In Exercises 93-98, let f ( x ) = sin x , g ( x ) = cos x , and h ( x ) = 2 x . Find the exact value of each expression. Do not use a calculator. the average rate of change of f from x 1 = 5 π 4 to x 2 = 3 π 2
In Exercises 93-98, let f ( x ) = sin x , g ( x ) = cos x , and h ( x ) = 2 x . Find the exact value of each expression. Do not use a calculator. the average rate of change of f from x 1 = 5 π 4 to x 2 = 3 π 2
Solution Summary: The author calculates the exact value of the average rate of change of f.
In Exercises 59–61:
a. Find the local extrema of each function on the given interval, and say where they occur.
b. Graph the function and its derivative together. Comment on the behavior of ƒ in relation to the signs and values of ƒ′.
59. ƒ(x) = sin 2x, 0 <=x<= pai
60. ƒ(x) = sin x - cos x, 0<= x<=2pai
61. ƒ(x) = sqrt(3 cos x) + sin x, 0<= x<= 2pai
In Exercises , use logarithmic differentiation to find the derivative of y with respect to the given independent variable.93. y = (sin x)^x 94. y = x^sin x
Let f(x) = sin x, g(x) = cos x, and h(x) = 2x. Find the exact value of the expression, the average rate of change of f from x1 = 5π/4 to x2 = 3π/2. Do not use a calculator.
Chapter 5 Solutions
Algebra and Trigonometry Plus MyLab Math with eText -- Title-Specific Access Card Package (6th Edition)
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