A function f is a positive function if f \geq 0 for all values in its domain. Similarly, a function is a negative function if f \leq 0 for all values in its domain. Consider a differentiable function f and choose the two correct statements from the following choices.

Question

A function   f  is a positive function if   f \geq 0  for all values in its domain.  Similarly, a function is a negative function if   f \leq 0  for all values in its domain.  Consider a differentiable function   f  and choose the two correct statements from the following choices.

Accepted Answer

If   f  is a strictly increasing function then its derivative is a positive function.

Accepted Answer

If   f  is a strictly increasing function then its derivative is also a strictly increasing function.

Accepted Answer

If   f  is an increasing function then its derivative is a positive function.

Accepted Answer

If   f  is a negative function then its derivative is also a negative function.

Answer

If   f  is a positive function then its derivative is an odd function.

Answer

If   f  is an increasing function then its derivative is a negative function.

Answer

If   f  is an increasing function then its derivative is an even function.

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