Asked by Peter
a) Find the linear approximation of the function f(x)=4cos(3x^2) near x = 0
b) Use the approximation found in part (a) to estimate the value of f(pi/20)
b) Use the approximation found in part (a) to estimate the value of f(pi/20)
Answers
Answered by
Steve
f'(x) = -24x sin(3x^2)
f'(0) = 0
So, you want the line with slope=0 through (0,4). Duh. y=4
Kind of a dumb place to approximate, eh? With a horizontal tangent, and all that.
f'(0) = 0
So, you want the line with slope=0 through (0,4). Duh. y=4
Kind of a dumb place to approximate, eh? With a horizontal tangent, and all that.
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