Wednesday

September 17, 2014

September 17, 2014

Posted by **Maura** on Tuesday, May 13, 2014 at 12:29pm.

a) Estimate f'(3) using h = 0.03

b) Find the exact value for f'(3)

c) Give the equation of the tangent line to f(x) at x=3

d) Use the tangent line to estimate f(2.98)

e) Critical points

- Calc -
**Steve**, Tuesday, May 13, 2014 at 12:37pm(a)

(f(3+.03)-f(3))/.03 = (3.1209-3)/.03 = 4.03

(b)

f'(x) = 2x-2

f'(3) = 4

(c)

f(3) = 3

So, now you have a point and a slope. The line is easy to express.

(d)

Now just plug 2.98 into that line.

(e)

where is f'(x) = 0?

- Calc -
**Maura**, Tuesday, May 13, 2014 at 12:50pmThanks!

**Answer this Question**

**Related Questions**

I would like to understand my calc homework:/ - Consider the differential ...

Calc. - Find the area of the region bounded by the parabola y=x^2, the tangent ...

calc - Find an equation of the tangent line to the curve at the given point. y...

Calc - Find the equation of the tangent line to f(x)=sqrtx^2+6x at x=2, give ...

math calc - The equation of the tangent line to f(x) =sqrt{x} at x = 25 can be ...

Calculus - 1. a) For the Function and point below , Find f’(a). b) Determine ...

Calculus - 1. a) For the Function and point below , Find f’(a). b) Determine ...

Calc - Let f(x) = x ^3. The equation of the tangent line to f(x) at x = 5 is y= ...

calc-tangent line - find the equation to the line tangent to y=(x+3)^(1/3) at x...

cal - find the equation of a quadratic function whose graph is tangent at x=1 to...