5. Solve the equation = 170. 6. Solve the following logarithmic equations. (a) log, (+5) = log, 3 (b) Inz+In (x+1)= 8 7. Use the limit definition to find to find the derivative of the following functions. (a) f(x)=x²+x+1 (b) f(x) = 1 220 1+5.5e-0.17z

Q: i) f(x) = x lnx mg

A: Formula for the derivative of the product of two function

Q: Find the derivative of each function. a. f(x) = e³x f'(x) = b. f(x) = -8e³ f'(x) = c. f(x) = -4e0.5.…

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Q: Solve y' = y'x.

A: solve y'=y2x3

Q: Calculate the following derivative if h(w) Vwew. (Use symbolic notation and fractions where needed.)…

A: According to the product rule, derivative of the product uv where u and v are functions of x is…

Q: Step 4 Simplify the above expression. y' = %3D 5(3 - х). -6(6x) -L 6x (5(3 - x)) (3 - x)(6x) | -36x…

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Q: A. Find the derivative of each function. 1. f(x) = 26 2. g(x) = -9 3. f(x) = x+7 4. y = 4-2x 5. f(x)…

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Q: Match each function to the rule you would need to use to compute its derivative. Answers may be used…

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Q: Find the derivative of each function. Show all your work and simplify the result completely.…

A: Since you have posted multiple questions, we will solve the first question for you. If you want any…

Q: Find the derivative of: Y = 1098 (√x² +1-x)

A: given  y=log8x2+1-xwe know  (i)  logab=logaloga(ii)  d dx(logx)=1x(iii)  d dx(xn)=nxn-1

Q: Calculate the derivative of the following function. y = 8 log5 (x²-8) d dx 8 log5 (x² - 8) =

A:

Q: 3. y У = = e3x-e-3x e3x+e-3x

A:

Q: 1. Determine the x-value where the curve y= 3cosh(2x) has a tangent line parallel to 3x-y 7. State…

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Q: 60. y = (x² + 1)" (24+7)(2z+1)7 8

A: Formula used log( x )y = ylogx log( xy ) = log( x ) + log( y ) log( xy ) = logx - logy