Differentiate the function. f(x) = x³(x + 4) f'(x) =

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A: Please see the below picture for detailed solution. 

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A: Given that: f(x)=7x+7     if    x≤27x-8      if   x>2

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Q: クメ- 2 dx +2x +17

A: Given that ∫033x-2x2+2x+17dxSolution : put 3x-2=Addxx2+2x+17+B3x-2=A2x+2+Bput x=-13-1-2=A-2+2+BB=-5p...

Q: (x² +3x – 4)(x² –9) h: y=- (x* +x-12)(x+3)

A: The function is  y=(x2+3x-4)(x2-9)(x2+x-12)(x+3)  

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Q: 5. Some integrals might seem complicated. But they will simplify significantly if you look at them i...

A: We know that the trigonometric identities; 1). sin2θ+cos2θ=12). sin2θ=2cosθsinθ And ∫1ax+bdx=1alnax+...

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Q: Find the tangent to y = x-x+5 at x = 5. The tangent to y = /x -x+5 at x= 5 is y = || 2.

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Q: Estimate the slope f'(3.5) for f (x) = sin(3x) using: a. Forward difference approximation with h = 0...

A: f(x)= sin3x x y y1 y2 y3 y4 3.3 -0.1557             -0.193       3.5 -0.3507   0.0139     ...