Wednesday

March 4, 2015

March 4, 2015

Posted by **Lu** on Tuesday, April 5, 2011 at 1:03pm.

y= -5x^1/2 + X^3/2; X=25

- business calculus -
**Reiny**, Tuesday, April 5, 2011 at 1:55pmdy/dx = (-5/2)x^(-1/2) + (3/2)x^(1/2)

= -5/(2√x) + 3√x/2

when x = 25

y = -5(√25) + (√25)^3 = -25 + 125 = 100

dy/dx = -5/(2√25) + 3√25/2 = -1/2 + 15/2 = 7

then

(y-100) = 7(x-25)

Finish it up to express the final equation is the form you want.

**Answer this Question**

**Related Questions**

Calculus - I have a two part question that pertains to a curve (r(x)) and its ...

Calculus [finding slope of tangent line] - Find the slope of the tangent line to...

calculus - To find the equation of a line, we need the slope of the line and a ...

Calculus - Find the slope and the equation of the tangent line to the graph of ...

Calculus: for mathmate - Find the slope of the tangent line to the graph of the ...

calculus - find the equation of a quadratic function whose graph is tangent at x...

College Calculus - Let f(x) = 3x^2 - 2x + 1 a) write an equation of the line ...

calculus - Find the equation of the tangent line to the curve y=sqrt(x) at x = c...

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

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