(1) Find the equation of the tangent line to f(x) = x 2 at the point 1 4 , f( 1 4 ) . Recall the following: ◦ The line tangent to f(x) at the point 1 4 , f( 1 4 ) is the line passing through 1 4 , f( 1 4 ) with a slope of m = f ′ 1 4 . ◦ A line can be defined using a point (x0, y0) and a slope m. The equation of such a line is given by the point-slope form: y − y0 = m(x − x0) Your final answer should be in slope-intercept form: y = mx + b for some real numbers m a

(1) Find the equation of the tangent line to f(x) = x 2 at the point 1 4 , f( 1 4 ) . Recall the following: ◦ The line tangent to f(x) at the point 1 4 , f( 1 4 ) is the line passing through 1 4 , f( 1 4 ) with a slope of m = f ′ 1 4 . ◦ A line can be defined using a point (x0, y0) and a slope m. The equation of such a line is given by the point-slope form: y − y0 = m(x − x0) Your final answer should be in slope-intercept form: y = mx + b for some real numbers m a

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter7: Integration

Section7.1: Antiderivatives

Problem 45E

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