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Provide an appropriate response.If the derivative of an even function f(x) is zero at x = c, can ...
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Provide an appropriate response.If the derivative of an even function f(x) is zero at x = c, can ...
Provide an appropriate response.
If the derivative of an even function f(x) is zero at x = c, can anything be said about the value of f' at
Give reasons for your answer.
Textbook
Calculus: Early Transcendentals
Edition:
3
^{rd}
Authors:
Briggs, Cochran, Gillett, Schulz
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Yes. The value of f 'at x = -c must also be zero since even functions are symmetrical with respect to the y-axis.
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