Calc
posted by Chelsea .
Find h'(2), given that f(2)= 3, g(2)= 4, f'(2)= 2, and g'(2)= 7
a) h(x)= 5f(x)  4g(x)
b) h(x)= f(x)g(x)
c) h(x)= f(x)/g(x)
d) h(x)= g(x)/1 + f(x)
I have no idea how to plug these in. If someone could please show me how to go about one, I'm sure the rest would be nearly the same.

Calc 
MathMate
I'll do (c):
h(x)=f(x)/g(x)
use quotient rule in differentiation:
d(u/v)=(v*duudv)/v²
so
h'(2)=(g(x)*f'(x)f(x)*g'(x))/g(x)²
=(g(2)*f'(2)f(2)*g'(2))/g(2)²
=(4*(2)(3)*7)/4²
=13/16
Check my work.
Respond to this Question
Similar Questions

Math
Given g(x) = print_coeff(m,1)x print_const(b), find g(print_coeff(n,1)a) I was told that the answer for this is a. However, I have no idea how to solve it. Please help me understand. I have no idea how to interpret what you have written. … 
Mathalgcalc
x^(1/7)=(1/2) Please help the example given was x^(1/7)=(1/5) so that solved x=78,125. but i have no idea what to do thanks! 
History: World War 1
Hi beautiful people. I am struggling to find a primary source to back up the oft cited claim that Germany was not allowed into the League of Nations. Given that the covenant itself contains no such proscriptions and I am not finding … 
ap calc
the graph of y= (ax+b)/(x1)(x4) has a horizontal tangent at the point (2,1. Find a ANd B. Please help I have ne idea where to start 
ap calc
the curve y=ax+ b/x has a relative minimum at the point (1,4). find the values of a and b. please help. I have no idea how to solve this. 
AP CALC
the curve y=ax+ b/x has a relative minimum at the point (1,4). find the values of a and b. please help. I have no idea how to solve this. 
ap calc
For the curve f(x)=xln(x)+ (1x)ln(1x), find the value of x in the interval 0<x<1 where f(x) has a minimum. Please help I have no idea how to solve. 
ap calc
if f(X)= 2XX^2,if x<1 2x^24x+3, if >or equal to 1 find two values of c in the interval [0,2] that satisfy the mean value theorem. Please help I have no idea how to solve 
PreCalc
This is the last question on my precalc homework, I looked through the textbook and have no idea how to do this. Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer does not exist, … 
Calc/Precalc
Find the derivatives of 1. ln[(2x^3⋅2e^x)] 2. xy = cot(xy) 3. y = cos(x^3 + 27) I don't really know where to start with these. The answer is (3+x)/(x) for the first, y/x for the second, and 35. 3x^2 sin(x^3 + 27) but I have …