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given: y=arccos(4x) a)find the equation of the line tangent to the curve at x=1/8

0 votes

also,b) find the equation of the line normal to the curve at x=1/8

step by step and explanation of work tahnks alot .

asked Feb 27, 2014 in CALCULUS by payton Apprentice

2 Answers

0 votes

a) The expression is image

At image

image

image

image

Differentiating above equation with recept to x.

image

image

The tangent line to the curve at image.

image

image

image

image

image

The equation of the line tangent image and the point image.

The point -slope form of equation of a line :  image, where m = slope.

image

image

image

The equation is image

answered Apr 23, 2014 by ashokavf Scholar
0 votes

b) The expression is image

The expression is image

At image

image

image

image

Differentiating above equation with recept to x.

image

image

The normal line to the curve at image.

image

image

image

image

image

The equation of the normal line  imageand the point image.

The point -slope form of equation of a line :  image, where m = slope.

image

image

image

The equation is image.

 

answered Apr 23, 2014 by ashokavf Scholar

Sorry, type of mistake

The equation of the normal line  imageand the point image.

The point -slope form of equation of a line :  image, where m = slope.

image

image

image

The equation is image

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