how about find the first derivative of f(x)=x^3(sin(x))? :D?
Well, you'd have to use the product rule by taking the derivative of x^3 and multiplying that by sin(x), then add that whole mess by the derivative of sin(x) multiplied by x^3. Therefore your answer would be f`(x)= 3x^2(sin(x)) + x^3(cos(x)). You could simplify this further by factoring out x^2 leaving you with f`(x)= x^2(3sin(x) + x(cos(x)))
Calculus!
as for the problems in the orinigal post, WITH STEPS!
6+y=3/t with T=x-5
Express X in Y.
6+y=3/(x-5)
(x-5)(6+y)=3 Multiply both sides by (x-5)
x-5=3/(y+6) divide both side by (y+6)
x=(3/(y+6))+5 add 5 to both sides
1/5p+3=3/10p-8
need clarification on what is in each of the denominators
15/2x-1=3
15/2x = 4 add 1 to both sides
15=8x multiply both sides by 2x
15/8=x divide both sides by 8
2(q=1)=4p-5 (Express P in Q)
2(q-1)+5=4p add 5 to both sides
2q-2+5=4p multiply the 2 into the parentheses
(2q+3)/4 = p divide both sides by 4
q+8-1/p+6=0 (Express P in Q)
need some clarification on this one too
is it supposed to be (q+8)-(1/p)+6, because that's how I'm reading it.
I don't normally do other people's homework, but if you're truly having trouble figuring these out and not being lazy, I'll be happy to help.