# What is the equation of the tangent line of #f(x) =(2x-3)/(x-8)^2# at #x=3/2#?

#169y-8x+12=0

and hence equation of tangent is

Graph shown below - not drawn to scale

graph{(169y-8x+12)(y-(2x-3)/(x-8)^2)=0 [-0.5, 3., -0.3, 0.3]}

By signing up, you agree to our Terms of Service and Privacy Policy

The equation of the tangent line of f(x) = (2x-3)/(x-8)^2 at x=3/2 is y = -1/2x + 2.

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- What is the equation of the line tangent to # f(x)=3/x^2# at # x=-2 #?
- What is the average value on the function #f(x)=4x^(2)-8x+5# on the interval [-1,2]?
- How do you find the tangents to the curve #y= x^3 + x# at the points where the slope is 4?
- How do you find the equation of the tangent line to the curve #y=sin(sinx)# at (pi,0)?
- Given #f(x)= x^2 +5x +1# what is the average rate of change of f(x) with respect to x as x changes from -1 to 1?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7