Saturday

October 25, 2014

October 25, 2014

Posted by **Robin** on Thursday, September 29, 2011 at 9:53pm.

Use this to find the equation of the tangent line to the curve y=(3x)/(1+x2) at the point (4,0.70588). The equation of this tangent line can be written in the form y=mx+b where m is: ________ and where b is:______

- Calculus -
**Reiny**, Thursday, September 29, 2011 at 10:21pmI will assume you meant

f(x) = 3x/(1 + x^2)

then by the quotient rule

f'(x) = ( 3(1 + x^2) - 3x(2x) )/(1 + x^2)^2

f'(4) = (3(17) - 12(8))/289 = -45/289

so now you have the slope m = -45/289

and your strange point (4, .70588)

Use your grade 9 method of y=mx + b

to find the equation.

**Answer this Question**

**Related Questions**

Calculus - If f(x)=(3x)/(1+x^2) find f′(4). Use this to find the equation ...

Calculus - If F(x)=x^3−7x+5, use the limit definition of the derivative to...

COLLEGE CALCULUS. - Use implicit differentiation to find the equation of the ...

math calculus - Use implicit differentiation to find the equation of the tangent...

calculus - If f(x)=4x^(5/2), find f'(4) Use this to find the equation of the ...

calculus - Consider the curve defined by 2y^3+6X^2(y)- 12x^2 +6y=1 . a. Show ...

Calculus - Please help this is due tomorrow and I dont know how to Ive missed a ...

Calculus. I need help! - HARDER PARTS WAS 3(x^2+y^2)^2=26(y^2+y^2) Find the ...

calculus - -find the equation of the tangent line to the curve y=5xcosx at the ...

Calculus - Find the equation of the tangent line to the curve y=2sinx at the ...