2.71828183 ==
So the derivative of a constant is zero.
If you have e^x, the derivative is e^x.
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2.67676364564. Multiply the power of x by the coefficient, and lower the power of x by 1, which is x to the 0 power, or 1.
hi peoplehey therethe derivitiive of f at a is simply, the limit as h appraoches 0 of (f(a+h)-f(a))/h if this limit exists. QEDrockem
The derivative of ln(x) is 1/x. Therefore, by Chain Rule, we get:[ln(10x)]' = 1/10x * 10 = 1/xUsing this method, you can also infer that the derivative of ln(Ax) where A is any constant equals 1/x.
e1 + (lnx) = e1 * e(lnx) = e * x = ex
The power law of indices says: (x^a)^b = x^(ab) = x^(ba) = (x^b)^a → e^(2x) = (e^x)² but e^x = 2 → e^(2x) = (e^x)² = 2² = 4