Homework Statement
f(x) = (e^x)/x. at what value of x does f(x) attain its minimum
Homework Equations
The Attempt at a Solution
f'(x) = (x)(e^x) / (e^x)
then do i set both of those to 0 and solve?
how o i do that?
im losttt
Homework Statement
find f'x
f(x) = (x+1)(x-3)^3
The Attempt at a Solution
i know its the product and chain rules.
(x+1)*3(x-3)^2 + (x-3)^3 *1
but then i get all confused with the numbers.
could someone walk me through this?
thanks!
Homework Statement
i can't solve it!
im really lost. i know you find f''(x) (i got 9e^3x +12) but i don't know where to go from there
what would i do on my calculator?
f(x) = x^4 + ax^2 +b. the graph of x has a relative max at 0,1 and an inflection point at x=1. the values of a and b are...?
ok I am really stuck.
thanks in advance!
Homework Statement
f(x) = e^(2x) and g(x) = lnx. what is the derivative of f(g(x)) at x=e
Homework Equations
dy/dx = f'g(x) x g'(x)
The Attempt at a Solution
i can't figure it out!
Homework Statement
the value of f(x) = (sqrrt e^x +3) at x=0.08 obtained from the tangent to the graph at x=0 is...?
Homework Equations
The Attempt at a Solution
i used linear approximation.
(sqrrt e^o +3) + (1/2(sqrrt3+e^0)(0.08)
i got an answer but i know its wrong. i...
Homework Statement
find d^2y/dx^2 at (1,1) for:
x^2y + x^2 -y^2 = 1
Homework Equations
none
The Attempt at a Solution
i worked it all out but the answer I am getting is not an option. could someone show me where i made a mistake? I am not asking you to do the problem for me...
the block is sliding down a wooden plane that has an incline of 22.67 degrees. the block has a mass of 31.0g.
also, the block has an acceleration of 16.94m/s^2
Homework Equations
f = ma
fnormal = (mass x acceleration due to gravity) (cos22.67) (i think?)
i tried to find the force...
Homework Statement
the equation is PV = c; p = pressure, v = volume, c=constant. (also known as Boyle's law)
the question: if volume is decreasing at a rate of 10cm^3/minute, how fast is the pressure increasing when the pressure is 100g/cm^2 and volume is 20 cm^3
Homework Equations...
Homework Statement
http://go.hrw.com/resources/go_sc/phy/HF2SR042.PDF
this is the link to the worksheet I am having trouble with. if anyone could help me out that would be great. i got most of it but have a few questions.
Homework Equations
fy=sin(angle) x force
fx= cos(angle) x...
Homework Statement
y=
y= {1+3ax+2x^2} if x is < or = 1
{mx+a} if x>0
what values for m and a make x continuous and differentiable at 1?
Homework Equations
n/a
The Attempt at a Solution
i solved for when x=1.
i got 3+3a.
this is also the right hand...
Homework Statement
how long does it take a car traveling in the left lane at 60 km/h to overtake another car traveling in the right lane at 40 kn/h when the cars front bumpers are initially 100 m apart?
Homework Equations
relative velocity equations
V ab = v ae + V be
The Attempt...