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Earn +20 ptsQ: What is a derivitive?
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What is the derivitive of e?
2.71828183 ==So the derivative of a constant is zero.If you have e^x, the derivative is e^x.
What's the derivitive of 2.67676364564x?
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.
What is the derivitive of ln10x?
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.
What is the derivitive of 1?
The derivative of a constant is always 0. To show this, let's apply the definition of derivative. Recall that the definition of derivative is: f'(x) = lim h→0 (f(x + h) - f(x))/h Let f(x) = 1. Then: f'(x) = lim h→0 (1 - 1)/h = lim h→0 0/h = lim h→0 0 = 0!
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