Inverse, Exponential, and Logarithmic Functions

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Problems for "Derivatives of e x and of the Natural Log" 3

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Topics Problems for "Derivatives of e x and of the Natural Log" 3

Problem :

e^x²

= ?

e^x²(2x)

Problem :

Π^x

= ?

Π^xln(Π)

Problem :

dx = ?

3 lnx + c

Problem : 4^xdx = ?

4^x + c

Problem :

x+5

= ?

Must use logarithmic differentiation

y =

x+5

Take natural log of both sides and bring down exponents

ln y = 2x ln

x+5

Now differentiate, and remember to use the chain rule

		= 2x + ln(x + 5)(2)
		= +2 ln(x+5)x+5^2x