differentiation
回答 (2)
2007-05-24 5:00 am
✔ 最佳答案
Becaus e^x = 1 + x + (x^2)/2 + (x^3)/3 + ..... + (x^n)/nthen derivative with x
= 0 + 1 + (2x)/2 + (3x^2)/3 + ....
= e^x
therefore, if y=e^x, then dy/dx = e^x
Now, for y = e^3x,
Let u = 3x, du/dx = 3
y = e^u
dy/du = e^u
then
dy/dx = dy/du x du/dx
dy/dx = e^u x 3
dy/dx = (e^3x)3
dy/dx = 3e^3x
參考: Pure Maths
2007-05-24 4:44 am
what is e??
is it a constant??
If yes,
d/dx(e^3x)
=3xe^(3x-1)
is it a constant??
If yes,
d/dx(e^3x)
=3xe^(3x-1)
收錄日期: 2021-04-22 00:34:32
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