Tuesday

September 2, 2014

September 2, 2014

Posted by **Chelsea** on Sunday, October 24, 2010 at 3:40pm.

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**, Sunday, October 24, 2010 at 5:33pmI'll do (c):

h(x)=f(x)/g(x)

use quotient rule in differentiation:

d(u/v)=(v*du-udv)/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.

- exponents -
**(x^?)^7=x^6**, Tuesday, August 26, 2014 at 1:05am7

**Answer this Question**

**Related Questions**

Calc - Last question! Thanks! Given f(3)=4 and f'(3)=5 find g'(3) where g(x)= 5x...

calc - Find dy/dx given x^2+ y^2= 2xy. Im not sure how to find dy/dx

calc - find the derivatives of the given functions. g(t)=sqrt t(1+t)/t^2

Calc-optimization - Given y=(x)^1/2, find the closest point to (3/2,0)

Calc last one - Given lim x>-4 1/2x-3 and E=.001 Find S that goes with this E

Vectors/Calc - Find the area of a triangle with the given vertices: (7,3,4)(1,0,...

Calc - Find h'(2), given that f(2)= -3, g(2)= 4, f'(2)= -2, and g'(2)= 7 d) h(x...

pre-calc - Given sin x = -5/6 and x is in Quadrant IV, find cos 2x (1 point)

pre-calc - Given sin x = -5/6 and x is in Quadrant IV, find cos 2x (1 point)

pre calc - Find 2 functions defined implicitly by the given relations: (a) x...