Posted by Jes on Tuesday, October 30, 2012 at 12:42am.
Can someone help me figure out the answer and..possibly show the steps.. to finding the derivative of these 3 questions..
1. f(x)=2(e^x)  x^2
2. f(x)=e^x/(e^x +1)
3. y=10^(√x)

Math/Derivative  Steve, Tuesday, October 30, 2012 at 11:03am
#1. (e^x)' = e^x, so
f' = 2e^x  2x
#2.
quotient rule:
f' = (e^x(e^x+1)  e^x*e^x)/(e^x+1)^2
= (e^2x + e^x  e^2x)/(e^x+1)^2
= e^x/(e^x+1)^2
or, knowing that e^x/(e^x+1) = 1  1/(e^x+1)
f' = e^x/(e^x+1)^2
#3. Recall that (a^u)' = ln a a^u u'
y' = ln 10 10^√x * 1/(2√x) = ln10/(2√x) 10^(√x)

Math/Derivative  Anonymous, Sunday, April 10, 2016 at 5:39am
d/dx(1+8/x)*
Answer This Question
Related Questions
 Math  Could I please get some help for these 3 questions, apologies for asking ...
 Math/Derivative  Had a few more >.< if you could possibly show steps so i...
 Calculus  I need help with finding first and second derivativesimplify your ...
 CalcDerivative  Find the derivative of x^(1/x). Can someone show me steps for ...
 calculus  (i know i've asked so many questions. i just want to make sure my ...
 Calc I  if f(t)=sqrt(4t+1) find f''(2) I got the first derivative to be: 1/2(4t...
 Calc  sinx+x^2y=1 use implicit differentiation to find the second derivative. ...
 Math  derivative of sinusoidal (check)  a) Find a function y=f(x) that ...
 Derivatives Math  Can someone explain how to find the derivative of : 1. y= 5...
 Calculus  derivatives  Okay, I want to find the derivative of (x^x)^(x^x)... ...
More Related Questions