Find the derivative of the following function using First Principles.

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

1 answer

the x^2 part is easy, right?

Now note that 5^x = (e^ln5)^x = e^(ln5 x)
Use google and you can find many sites which prove that the derivative of e^u = e^u using first principles. They all use some variation of the fact that

lim(n->0) (1 + 1/n)^n = e
Similar Questions
    1. answers icon 1 answer
  1. Find the second derivative for the function 5x^3+60x^2-36x-41and solve the equation F(X)=0 i got to the second derivative but
    1. answers icon 1 answer
  2. Find the derivative of the function using the definition of derivative.g(t)= 9/sqrt(t) g'(t)= state the domain of the function
    1. answers icon 1 answer
  3. Given the function: f(x) = x^2 + 1 / x^2 - 9a)find y and x intercepts b) find the first derivative c) find any critical values
    1. answers icon 0 answers
more similar questions