PLEASE ANSWER, TRUE OR FALSE THANK YOU 4. If f(x) is any polynomial of degree 10, then the 9th derivative of f (x) iszero.5. If f'(0) = 0, then f(0) = 0.The derivative of In(cx), where c is a constant, is equal to c·6._7. If y = 6e5, thendy30e4.dx_9. If y = cos x, then the nth derivative of y with respect to x is equal to itself i.n is a natural number divisible by 4._10. If f"(c) = 0, then f'(c) = 0 for any real number c.

Topic = Derivative As per guidelines ,at a time only three questions can be answered.

Answered: _4. If f(x) is any polynomial of degree…

_4. If f(x) is any polynomial of degree 10, then the gth derivative of f(x) is zero. _5. If f'(0) = 0, then f(0) = 0. _6. The derivative of In(cx), where c is a constant, is equal to c dy 16

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

Section4.2: Derivatives Of Products And Quotients

Problem 37E

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Question

PLEASE ANSWER, TRUE OR FALSE THANK YOU

4. If f(x) is any polynomial of degree 10, then the 9th derivative of f (x) is
zero.
5. If f'(0) = 0, then f(0) = 0.
The derivative of In(cx), where c is a constant, is equal to c·
6.
_7. If y = 6e5, then
dy
30e4.
dx
_9. If y = cos x, then the nth derivative of y with respect to x is equal to itself i.
n is a natural number divisible by 4.
_10. If f"(c) = 0, then f'(c) = 0 for any real number c.

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