Determine an expression for the derivative of this function. (Do not simpli f(x) = (2x²-x)(√√x² - 1)

Q: b) lim x² +8x+16 X-1 x²-16

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Q: 5. If 3x²z+y³-xyz³ = 0, find az / əx. 6. Show that if w=f(r-s,s-t,t-r), then dw dw dw dr + + = ds ôt…

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Q: lim x 8个 xxx 782_11x+67 cx87-67 lim ax87-11x+67 Cz87-67 lim x →∞ ar ax87-11x+67 cx82-67 =C =C =C

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A: We will find the required.

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A: The solution is shown below-

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A: Since you have posted multiple question in this question so i have solved the first three subpart…

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A: Given: fx=ln8xgx=9 sin4x Red Cord: f'c Green Cord: g83π Blue Cord: f''c where, c is a constant such…

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Q: Find the derivative of the following function: f(x) = ³√x² -2 (a) f'(x) = 3 1/ (b) ƒ'(x) = 3³7x²…

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Q: Consider the ellipse 4x² + 2xy + 2y² = 88. (a) The derivative on this curve is dr dy = dx (b) Find…

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Q: 10. The average rate of change of f(x)= x² + x over the interval 0 ≤ x ≤ 4 is a. 20 b. 4 c. 5 d. 1

A: f(x)=x2+xinterval is  0≤x≤4formula for average rate of change is favg=f(b)-f(a)b-a

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Q: = 4y cos(2x - 5y) at the point (5,2,8) Find the tangent plane to the equation z =

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Q: let y = 5 log (x+1) find y'

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Q: 1

A: We have to simplify and write in x according to the given information.

Q: 5. Evaluate the limit: lim X+3 a. 0 b. 9 3x C. d. +00 -1 1

A: K=limx→3+3xx-3

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A: Please see the below picture for detailed solution.

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A: The given skew lines: L1:  x=5+7t,  y=3+7t,  z=8-9tL2:  x=1-t,  y=6,  z=5+8t

Q: How do you find the absolute max and min for problem 45?

A: The given function is: y=x+x2-2x ;          0, 4

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A: Given; f(x) = e-x + x , [-2,3].