Math Tutorial?

Hi, today I'll be teaching a little calculus.





Derivative: Slope of a Tangent Line, Instantaneous Rate of Change





Formula for Derivative: lim h-%26gt;0 [f(x+h)+f(x)]/h





Here are some rules for derivatives:





Sum Rule: f(x) = h(x) + g(x) + ....





f'(x) = h'(x) + g'(x) ....





Product Rule: f(x) = h(x)*g(x)





f'(x) = h'(x)*g(x) + g'(x)*h(x)





Chain Rule: f(x) = g(h(x))





f'(x) = g'(x) * h'(x)





Quotient Rule: f(x) = h(x)/g(x)





f'(x) = [ h'(x)*g(x) - g'(x)h(x) ] / (g(x))^2





Power Rule: f(x) = x^n





f'(x) = nx^(n-1)





Integral: Antiderivative, Area, Volume, Surface Area, Arc Length





Sum Rule: Integral f(x) + g(x) dx = Integral f(x) dx + Integral g(x) dx





Product Rule: c is a constant: Integral c*f(x) dx = c*integral f(x) dx





Power Rule: Integral x^n dx = 1/(n+1)*x^(n+1) + C





Area = Integral (a to b) f(x) dx





Integral x^-1 dx = ln|x| + C





Tomorrow would go back to slope, lines, simultaneous equations. and so on.

Math Tutorial?
That was uncommon kind of you ! If you want to answer a question that I can`t, try this one.





A field has a radius of 50 feet, and a goat is tethered at a point on the circumference by a rope. What is the length of the rope such that the goat can graze over exactly half the area of the field ?





I`ve played with this for ages, and got absolutely nowhere with it. E mail me with your ideas. Look forward to hearing from you, Twiggy.
Reply:you are supposed to ask, not answer?
Reply:what do u need