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Please I need help with these problems. Please show your work so I can understand them better. Given the function , f (x) = 3x2-

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Please I need help with these problems. Please show your work so I can understand them better.

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Given the function , f (x) = 3x2- 2r + 5 Use the limit definition (difference quotient) to find the derivative of f(x) f(x) = lim f( x +h) -f(x) h For the toolbar, press ALT+F10 (PC) OF ALT+FN+F10 (Mac). B I U S Paragraph y Arial 10pt A P QUESTION 2 a. Find the first derivative of the function. (x) =4x3-5x + 11 (6 points) b. Find the equation of the line tangent to the curve of f(x) at x = 1. (6 points) For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac]. B I Y S Paragraph Arial 10pt Ev AQUESTION 3 Use implicit differentiation to find _ if 2x3- 32= 10 dr For the toolbar, press ALT+F10 (PC) OG ALT+FN+F10 (Mac] BIUS Paragraph V Arial 10pt Ev P QUESTION 4 Find the second derivative given f (x) = sec x For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). B I Y S Paragraph Arial 10pt Ev Ev P\fQUESTION 7 Find g'(x) : (x) = x2 - 1 For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). B I US Paragraph Arial 10pt P QUESTION 8 Find dx y = In(5- 3x)2 For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). B I US Paragraph Arial 10ptQUESTIONS sin ( 3r+ 1) Find - For the toolbar, press ALT+F10 [PC) or ALT. FN: F10 [Mack BIUS Paragraph 10pt EYEYAN ZI XO0Q50 53 QUESTION 10 The driver of a car traveling at 42 IV/sec suddenly applies the brakes. The position of the car is described by the function t seconds after the driver applies the brakes. How many seconds after the driver applies the brakes does the car come to a stop? (hint. what is the velocity when the car comes to a complete stop?) For the toolbar, press ALT.#10 (PC] or ALT.FN+F10 [MK). B I Y S Paragraph Arial 10pt A Y & I.QUESTION 11 sin ( 3x - 1) Find - given y= dx log r ? For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). B / U S Paragraph Arial 10pt Ev A QUESTION 12 dr Find - s=5/+ cost + 3e dr For the toolbar, press ALT+F10 (PC] or ALT+FN+F10 (Mac). BI VS Paragraph Arial 10pt Ev Ev A &

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