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Aliun [14]
3 years ago
9

Sketch the graph of a function whose first derivative is always negative and second derivative is always positive.

Mathematics
1 answer:
Wewaii [24]3 years ago
7 0
Y = f(x)
y' < 0 
y'' > 0

<span>Function must be decreasing and concave
</span>
f(x)= e^{-x}&#10;\\&#10;\\f'(x)=- e^{-x}\ \textless \ 0=-\frac{1}{e^x} \ \textless \ 0&#10;\\&#10;\\f''(x)=(-e^{-x})'=e^{-x}= \frac{1}{e^x} \ \textgreater \ 0

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