Sunday

March 1, 2015

March 1, 2015

Posted by **Vanessa** on Wednesday, April 9, 2014 at 10:11pm.

f '(x)=6(2x-7)^5 at (4, 3/2)

- Math -
**bobpursley**, Wednesday, April 9, 2014 at 10:24pmf=INT f= (2x-7)^6 + C

now find C

3/2 = (2*4-7)^6 + C

C=1/2

- Math -
**Reiny**, Wednesday, April 9, 2014 at 10:26pmif dy/dx = 6(2x-7)^5

y = (6/6) (2x-7)^6 (1/2) + c

y = (1/2)(2x-7)^6 + c

but (4 , 3/2) lies on it, so

3/2 = (1/2)(1)^6 + c

3/2 = 1/2 + c

c = 1

f(x) = (1/2)(2x-7)^6 + 1

**Answer this Question**

**Related Questions**

calculus - find a function f given that (1) the slope of the tangent line to ...

math - i have more than one question so if u no any of the answers please tell ...

Calculus - 1. Given the function f defined by f(x) = x^3-x^2-4X+4 a. Find the ...

Math- calculus - Given f(x) = x ^ 3 - x ^ 2 -4x +4 Find the zeros of f. Write an...

cal - Equations of the tangent lines to hyperbola xy=1 that pass through point...

calculus - 1. Which of the following expressions is the definition of the ...

calculus anti-derivation - Given that the graph of f(x) passes through the point...

calculus - find the point on the graph of the given function at which the slope ...

Calculus - Sketch a graph of the parabola y=x^2+3. On the same graph, plot the ...

math - Find the slope m of the tangent line to the graph of the function at the ...