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.

What will be an ideal response?


Yes. The value of f 'at x = -c must also be zero since even functions are symmetrical with respect to the y-axis.

Mathematics

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Find the equation of the line satisfying the given conditions, giving it in slope-intercept form if possible.Through (8, 1), parallel to 7x - 5y = 71

A. y = x +  
B. y = x - 
C. y = x -  
D. y = - x +  

Mathematics

Find the vertical asymptotes of the rational function.f(x) = 

A. x = -4, x = 1 B. x = -2 C. x = 4, x = -1 D. x = -4, x = 1, x = -2

Mathematics

Use mathematical induction to prove that the statement is true for every positive integer n.9n > 9n - 1

What will be an ideal response?

Mathematics

Find the derivative.f(x) = 

A. f'(x) = x8/7
B. f'(x) = x-6/7
C. f'(x) = - x-8/7
D. f'(x) = 6(6)

Mathematics