Find the derivative of the following function and evaluate the derivative at the given value of x.f(x) = (14x)^ln14x ; x = e/14After taking natural log on both sides, I'm left with:lnf(x) = (ln14x)(ln14x)I'm not sure what to do at this point.

Q: Use the Taylor series for 1/ (1 - x2) to obtain a series for 2x/ (1 - x2)2.

A: Click to see the answer

Q: Use this formula to find the instantaneous rate of change of the function at the given x-value.f(x) ...

A: Given function is 

Q: What is the binomial series? On what interval does it converge? How is it used?

A: Given:What is the binomial series? On what interval does it converge? How is it used?

Q: Find the rules for the composite functions f ∘ g and g ∘ f.   f(x)=square root of (x+9) and g(x)= 1...

A: fog means f(g(x))We plug g(x)=1/(x-9) inside f(x).Then replace x in f(x) by 1/(x-9) to find f(1/(x-9...

Q: In the function:  f(x)= (7x+B)/(4x+b) , with 7b>4B At which x-coordinates are there points of inf...

A: Click to see the answer

Q: In the function:  f(x)= (7x+B)/(4x+b) , with 7b>4B What are the critical numbers of the function?

A: Given:

Q: What is the Taylor series generated by a function ƒ(x) at a point x = a? What information do you nee...

A: With Taylor series, possible to guess what a function will look like in the area around the chosen p...

Q: An airplane is flying in the direction 25° west of north at 800 km> h. Find the component form of...

A: Click to see the answer

Q: Find parametric equations for the circle x2 + y2 = a2, using as parameter the arc length s measured ...

A: The given equation of circle is,