Thursday

April 17, 2014

April 17, 2014

Posted by **Anonymous** on Monday, April 19, 2010 at 8:18pm.

- calculus -
**Reiny**, Monday, April 19, 2010 at 9:34pmfirst the easy part,

when x = 1/2 y = 8^(1/2) = √8

so our point is (1/2, √8)

I will take ln of both sides

ln y = ln 8^x

lny = x(ln8)

(dy/dx) / y = ln8

dy/dx = ln8(8^x)

so at (1/2, √8)

dy/dx = (ln8)(√8)

so you have m = ln8(√8) and the point (1/2, √8)

find the equation of the line.

**Related Questions**

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

Calculus - Consider line segments which are tangent to a point on the right ...

Calculus - Determine an equation of the tangent line to the curve of f (x) = 3e^...

Calculus - Determine the equation of the line perpendicular to the tangent line ...

calculus - Consider line segments which are tangent to a point on the right half...

Calculus - Determine the equation of the tangent line to the curve y = 2x²-1 at ...

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

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

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

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