Asked by aisha
find derivative
y= 3x^5-6x^3/7secx
find dy/dx
* xcosy= 5( y+cosx)
* X^5-Y^3+8XY=466
* A RIGHT TRIANGLE HAS LEGS OF LENGTH 15M AND 7M. THE 7M LEG IS NOT CHANGING. 15M LEG IS GETTING LONGER AT RATE OF 8M PER SECOND. SO WHAT IS RATE OF CHANGE OF THE HYPOTENUSE?
y= 3x^5-6x^3/7secx
find dy/dx
* xcosy= 5( y+cosx)
* X^5-Y^3+8XY=466
* A RIGHT TRIANGLE HAS LEGS OF LENGTH 15M AND 7M. THE 7M LEG IS NOT CHANGING. 15M LEG IS GETTING LONGER AT RATE OF 8M PER SECOND. SO WHAT IS RATE OF CHANGE OF THE HYPOTENUSE?
Answers
Answered by
Steve
need parentheses on 1st
in any case, use quotient rule. what do you get?
x cosy = 5y + 5cosx
cosy - x*siny y' = 5y' - 5sinx
y'(x siny + 5) = cosy + 5sinx
y' = (cosy+5sinx)/(x siny+5)
h^2 = x^2+y^2
2h dh/dt = 2x dx/dt + 2y dy/dt
2√274 dh/dt = 0 + 2*15*8
dh/dt = 120/√274
in any case, use quotient rule. what do you get?
x cosy = 5y + 5cosx
cosy - x*siny y' = 5y' - 5sinx
y'(x siny + 5) = cosy + 5sinx
y' = (cosy+5sinx)/(x siny+5)
h^2 = x^2+y^2
2h dh/dt = 2x dx/dt + 2y dy/dt
2√274 dh/dt = 0 + 2*15*8
dh/dt = 120/√274
Answered by
aisha
where did you
get 274 from
get 274 from
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