11. Differentiation
iGCSE (2021 Edition)
11.12 Defining e and the natural logarithm
Interactive practice questions
Consider the function $f\left(x\right)=e^x$f(x)=ex.
a
Complete the following table of values, rounding to two decimal places:
| $x$x | $-3$−3 | $-2$−2 | $-1$−1 | $0$0 | $1$1 | $2$2 | $3$3 |
| $f\left(x\right)$f(x) | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ |
b
Hence identify the graph that correctly represents $f\left(x\right)=e^x$f(x)=ex:
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A
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B
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C
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D
Easy
3min
Consider the graph of $y=e^x$y=ex.
Easy
2min
$f\left(x\right)=e^x$f(x)=ex and its tangent line at $x=0$x=0 are graphed on the coordinate axes.
Easy
1min
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