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By Nathan Mehta Period 4 MACH 5. Find the Derivative of f(x)=X 4 [5X-1] 3 ff(x)=X 4 [5X-1] 3 Original Equation ff’(x)=4X 3 [5X-1] 3 + X 4 (3)(5X-1)

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Presentation on theme: "By Nathan Mehta Period 4 MACH 5. Find the Derivative of f(x)=X 4 [5X-1] 3 ff(x)=X 4 [5X-1] 3 Original Equation ff’(x)=4X 3 [5X-1] 3 + X 4 (3)(5X-1)"— Presentation transcript:

1 By Nathan Mehta Period 4 MACH 5

2 Find the Derivative of f(x)=X 4 [5X-1] 3 ff(x)=X 4 [5X-1] 3 Original Equation ff’(x)=4X 3 [5X-1] 3 + X 4 (3)(5X-1) 2 (5) GGet the derivative of X 4 by using the Power Rule and leave [5X-1] 3 as is TThen add X 4 and get the derivative of [5X-1] 3 by using the Package Rule TThen multiply by the derivative of 5X-1 by using the Package Rule

3 ff’(X)= 4X 3 [5X-1] 3 + 15X 4 (5X-1) 2 Simplify ff’(X)= X 3 (5X-1) 2 [4 (5X-1) + 15X] Factor ff’(X)= X 3 (5X-1) 2 [20X - 4 + 15X] Simplify ff’(X)= X 3 (5X-1) 2 [35X - 4] Simplify


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