can anyone help with this?

Find equation of the line tangent to y=6x^3 at the point (1,6)

a) Find slope

b) Use the point slope form to find tangent line equation.

look in the back of the book you ****.

I'll bite........

slope of the tangential line is f'(x) where (f(x)=6x^3).........so if I recall correctly, the slope is 18 (or 18/1).

So the line becomes y=18x-12

I could be all wrong........it's been a LONG time and I was stoned a lot in college.

that's what had figured, just wanting another opinion.

The ciphering club is now called to order.

Me too! I went threw 8 credits of science calculus and a class in differential equations, before finally realizing I wasn't going to be a doctor. So, I finally double-majored in Finance and Business Economics.

6 for 3.

Chief is considering becoming a witch-doctor--will this kind of math be required?

Will you prescribe pot?

In the equation, "y=mx+b" m is the slope and b is the y intercept if I remember correctly.

The hardest math class I ever had was algebra.

Never took geometry, trig or calculus. Of course, I'm not an engineer, so I guess that's okay.

Yep, Andy's right.

-JT

y = x^3-6x^2+9x-10

y1 = (1)^3-6(1)^2+9(1)-10 = 1-6+9-10 = -6;

turning point 1 (1, -6)

y1'' = 6(1)-12 = 6-12 = -6 > 0 max turning point

turning point 2 (3, -10)

y''2 = 6(3)-12 = 27-12 = 15 > 0 min turning point

y = x^3-6x^2+9x-10

y' = 3x^2-12x+9

y'' = 6x-12

y''' = 6

y'''' = 0

Shall I integrate it too?

-JT

Jimmy, WTF are you talking about? LOL

-JT

^ get a room you two. Stop sending encoded love notes to each other.

.. .-.. --- ...- . -.-- --- ..- - --- ---

^ ... feel free ... knock yourself out ... but it's a much longer process and well, I really don't feel like drawing it out any further than it already has been ...

... if he can't figure that part out ... he might want to consider withdrawing from the class and pick another one ...

... and besides ... this is one of those 12 step programs that nobody really wants to have to go through ...

- it's almost (virtually) useless in real life ... all you need to know is "how" it works and understand "why" it works the way it does ... after that ... if you're going to sit around and put that much time into it ... you have no life ...

- so fee freel ... but don't be surprised if I get bored and correct you if you screw it up ... LOL

JT,

... apparently you didn't realize it, however, this is an x-cubed graph and will have more than one turning point...