If $f(x)=e^{x+2}$ , Find and Simplify the Difference Quotient $\frac{f(6+h)-f(6)}{h}$
A)1
B)

question 86

Multiple Choice

If $f(x) =e^{x+2}$
, find and simplify the difference quotient $\frac{f(6+h) -f(6) }{h}$
.

• A)1
• B) \(e^{8}-e^{6}\)
• C) \(\frac{e^{x+h}}{h}\)
• D) \(\frac{e^{8}\left(e^{h}-1\right)}{h}\)

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Definitions:

Placebos

Substances with no therapeutic effect that are used in clinical trials as a control to test the effectiveness of treatments.

Nocebo Effect

Adverse effect of a placebo.

Negative Effect

An adverse or undesirable outcome resulting from a particular action or condition.

Placebo Study

A research experiment in which the effects of a substance or treatment are compared with those of a placebo, a harmless pill or procedure, to assess the treatment's effectiveness.