Enrich · Mathematics Advanced 11–12 – Year 11 · Exponential and logarithmic functions

Enrich Examine the gradient of the tangent to the curve y = a^x at its y -intercept for varying values of a, and verify using graphing applications that there is a unique number e ≈ 2.71828182845..., such that the gradient of the tangent to y = e^x at x = 0 is 1, and call this number e Euler’s number

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