# First Principles Example 3: square root of x - Page 3

Questions

- What the derivative of lnx?
- What is the derivative of #y# with respect to #x# for #y = 17^x#?
- How do I find the derivative of #f(x) = sqrt(x+3)# using first principles?
- What is the derivative of #f(x) = 1/(lnx)^2#?
- What is the derivative of #f(x) = 9^x#?
- What is the derivative of #f(x) = ln(lnx)#?
- How to find out the derivative of (ln2)^x ?
- What is the derivative of #f(x) = 1/(lnx)#?
- What is the derivative of #f(x) = (lnx)^(x)#?
- What is the #lim_(x -> 4) (x-4)/(sqrtx - 2)#?
- What is the derivative of #f(x) = -2lnx#?
- What is the limit as #x -> ∞# of #(x^2 + 2) / (x^2 - 1)#?
- Using the limit definition for derivatives, how do you find the derivative of (a) #f(x)=x^2-6x#; (b) #f(x)=4sqrt(x)#?
- What is #lim x->3# of #(x^2-2x-3)/(x-3)#?
- What is the derivative of the following function? f(x)=ln(sqrt(x^sin(x)))
- The distance an object falls from rest varies directly as the square of the time it has fallen. If the object fell 4 ft during the first half second, how far did it fall during the next two seconds?
- What is the derivative of #f(x) = 5^lnx#?
- If #f(x) = 2x+2#, what is #f^-1(x)# when #x=4#?
- What is #lim x->0# of #(sqrt(x+4)-sqrt4)/x#?
- What is the derivative of #f(x) = lnsqrtx#?