2.

\f\fUse the product rule to find the derivative of (3z* 62) (6e\" + 1) Use e\"x for e*. You do not need to expand out your answer. - 220 - 5 Consider the function f (a) = -. Compute each of the following. Simplify your answer and use x - 3 exact values. f'(2) : f" ( ac) = f'll ( 20 ) =\fUse the quotient rule to find the derivative of 10e + 8 7a5 + 10x3 Use e^x for e". You do not need to expand out your answer. Be careful with parentheses!Use the quotient rule to find the derivative of 6sin(z) 6 927+ 4 You do not need to expand out your answer. Be careful with parentheses! The graphs of the linear function f and the linear function g are shown in the figure above. If h(z) = f(z)g(z) , then h'(4) = \fFind the following using the table below. 1 2 3 4 f(z) 2 4 3 1 f'(x) 3 4 1 2 g(x) 2 1 3 4 g'(x) 1 4 2 3 h'(3) if h(x) = f(x) . g(a) h'(3) if h(a) = f (a) g(a)Given that f(z) = 2h(z) h =3 R(-1)=6 Calculate f'(1). ' Hint: Use the product rule and the power rule. \fFind the equation of the tangent line to the curve y = 4x cos x at the point (7, -47). The equation of this tangent line can be written in the form y = max + b where m = and b :2 sin x Let f(2) 2 sin x + 4 cos x Then f'(ac) = The equation of the tangent line to y = f(x) at a = - can be written in the form y = ma + b where m = and b8 12 - 8 ' ( - 1) = 28 - 2 sin 2x + 421 easing you can choose any one of these f ( 3 ) = 4 8in3 cay 3 + 12 Cos 3 - 12 8in 3 or 2 sin 6 + 12 ean6 2 14) My = - 4x m=- 4, b=0 QIT. 81 ( 7 ) = 2 Tomount. ' y = ax+ 3 y = n + 3 - TD - Mz b = 3 - T S/ 3as f (x ) = - 2 - 8 ( n ) = ( x - 3 ) 2 8 " ( x ) = - 22 (X ( - 3 ) 3 8" ( x ) = $6 ( X - 3 ) 4 Q ( 6 ). 5 ( Ifx ) Derivative ( FxS+lox3) axle"- ( loex (8 ) ( 35 x4 307 ) = ( F X5 +lox ? ) 2 [with out any export) 10 x3 (7x + 10)ex - lox (5ext4 ) ( 7 x+ 6 ) x6 ( 7x 7 10 ) - 10x ( 7x +10) en - 10 (5 ex p 4 ) ( 7 x 76 ) U you can choose this = Derivatives = (ox+ + 4) (-bearx) - (-6sinn-6)x63x (oxt + 4 ) 2 - 6 (oxt + 4 ) cask RESIN STOKED) + 378 ( 1 + sinx ) x 6 ( on+ + 4 ) L h ( 4 ) = 4 2 10 fen ) = - 46 h' (3) = 9, when him = sen) gon h ( 3 ) = -2 , when h (n)- fen )Answers We here apply 2 ( xn ) = n. x n - 1 and Lx ( 2(0 ) 2 and IX + um. d In ( LOW ) All answers are correct, But in some question there are said that "no need to expound". so I do not Q2 expand 81 ( )= IX - 8+6*" If we simpleby this then we get fr ( ) = 7 x " vx - 8+-6 VX 04 - ( 7 x 3 - 8 VX + 6 ) you can choose any one of the above boremy. R3. 81 ( 21)= 4x3 ex + xlex = x3ex ( 4 +x ) ore *? (4 +x)ex You can hoss take any of the above three Q4. Deniestive-(12x3 -1824) (sent 1) + (3x4 62(3) xrex [ with out any expand) = 06 8 0RD - 6x2 ( 2x +3) (6exx1 ) - 18x3 ( x + 2)2 You can choos this