I. Find the standard (slope-intercept form) equation of the tangent line to the following functions at thespecified points:1. f(x)=3x² - 12z+1 at the point (0,1)2. f(x)=2x² - 4x +5 at the point (-1,11)3. f(x)=√x+9 at the point where z=0+4. f(x)=√25-² at the point where a = 4*5. f(x)=²+√ at the point where z = 1I. Write TRUE if the statement is true, otherwise, write FALSE.(a) The sixth derivative of y=sin z is itself.(b) The linear function y = mz+b, where m / 0, has no maximum value on any openinterval.(e) If the function f is continuous at the real number z = a, then f is differentiable atthe real number z = a.(d) If f(c) is an extremum, then f'(c) does not exist.(e) A differentiable function f(x) is decreasing on (a, b) whenever f'(x) > 0 for all z €(a, b).

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I. Find the standard (slope-intercept form) equation of the tangent line to the following functions at the specified points: 1. f(x)=3x²-12x+1 at the point (0,1) 2. f(x)=2x² - 4x +5 at the point (-1,11) 3. f(x)=√x+9 at the point where a=0 +1. f(x)=√25-² at the point where a 4 *5. f(x)=x² + √ at the point where z = 1

I. Find the standard (slope-intercept form) equation of the tangent line to the following functions at the specified points: 1. f(x)=3x²-12x+1 at the point (0,1) 2. f(x)=2x² - 4x +5 at the point (-1,11) 3. f(x)=√x+9 at the point where a=0 +1. f(x)=√25-² at the point where a 4 *5. f(x)=x² + √ at the point where z = 1

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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