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please help me answer All of these questions. Thank you!

1. Use the limit definition of the derivative - lift+A) 6 to find the derivative of the following function: f(x) = 3x-2x? You
1. Find the derivatives using the power rule, the sum rule, and the constant multiple rule. DO NOT use the quotient rule. Do
3. Find the derivative using the quotient rule. 4. Let u and v be differentiable functions of x. Find the value of the indica
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Answer #1

f(x) = 30-201² f(a+h): = 369+h) - 2001+h)? 3a + 3h-2 (2²+4² +2 ha) 32+ 3h-n²-27 -4 ha So, auoeding to the limit definition of2 (14)= 3(4) - 2 (4) 12 - 32 - 20 And f!4) = 3-4 (4) 3-16 - = 1-13] = slope of tangent at x=4. ③ Thus, equation of tangent isal a) de 3 353 - 951 S - dr . d (382-957) ds d d (951) ds sum sule of ri d ds differentiation 3-3) - 9. (13 ) (constant, multNow, y = I am ly) 11 d da ( 7 x?) constant multiple 7 d da (33) rule of differentiation [Power rule of differentiation 7 (201Method-2: Product sule of differentiation: d dn So, d (fin).g(0) f(m. gla) + gen. flen) dia [(30-3)(373 »?+1)] (373 x ² + 1)12, 오분) v du nu cu du d기 12 So, at a = 1, 영 - U (1). (1) () = da v(1). (1) (19)으 구 (-5) - 3 (-3) (7) 2 -26 49

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