Calculus
posted by sh .
Find the derivative of
f(x)=x(14^x)
f'(x)=(14^x)+ (4^x)(ln4)(4)(x)
ln can't be negative. Is the derivative correct?

no, the second part of your product rule is not correct
lets just differentiate
1  4^x
that would be (4^x)(ln4)
my final answer would be
f '(x) = (14^x) + x(4^x)(ln4)
= 1  4^x  x(ln4)(4^x) 
So the negative is not included,
for example f(x)=2^x
f'(x) would be (2^x)(ln2)?
Thanks! 
I think you got it.
in your example you could look at 4^x
as (4^x)
Respond to this Question
Similar Questions

Calculus (Help)
Also I would like to know how to set this problem up in finding the answer: Find the second derivative. y= sqrt(3x+4) Thanks, P.S. I tried taking 3x+4 and squaring it to the 1/2. I thought that might've been the same, then I took the … 
calc
derivative of (x^3/6)+(1/2x)? i got (x^2/2)(1/2x^2) is that correct? 
Calculus> bobpursley
How do you get m=0? from taking the second derivative? 
Calculus
Any help would be much appreciated with the steps involved in each problem given. Thank you. 1) Find derivative if y =cot x + sin x 2) Find derivative if y = (3x+5)^8 3) Find derivative if y = x csc x 4) Find derivative if y = x ã3x … 
Calculus
Any help would be much appreciated with the steps involved in each problem given. Thank you. 1) Find derivative if y =cot x + sin x 2) Find derivative if y = (3x+5)^8 3) Find derivative if y = x csc x 4) Find derivative if y = x /3x … 
Calculus  derivatives
Okay, I want to find the derivative of (x^x)^(x^x)... Well, I already went through the process of finding the derivative of just x^x (I used ln to do this). This is what I found... dy/dx = x^x(lnx+1) So now I want to find the derivative … 
math
Find the derivative of y=3x2(4^x) Here is my attempt: Derivative of 3x is 3 Derivative of 2 is 0 derivative of 4^x is 4^x(ln(4)) Answer: 12^x(ln(4)) Is this correct? 
Please check my Calculus
1. Find all points of inflection of the function f(x)=x^46x^3 A. (0, 0) B. (0, 0), (9/2, 2187/16) C. (3, 81) D. (0, 0), 3, 81) E. none of these I got D. I found the second derivative and solved for x and plugged values into original … 
Calculus
1.) Find the derivative of tan (sec x). 2.) Find the derivative if 1/x in four ways, using the limit process, power rule, quotient rule and implicit differentiation. 3.) Show that the derivative of sec^1 x is 1/(x*sqrt(x^2 1)). … 
Calculus 1
Find the derivative dy/dx for the following. Simplify your answer. y=(ln(x^2))/(x^3) I got (2/x x^33x^2 ln(x^2))/((x^3)^2) for the derivative is that correct?