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Worksheets of Differentiation Formulas

Test your skills on Differentiation Formulas by trying out Differentiation Formulas worksheets. 7 Differentiation Formulas worksheets available to gain expertise and excel in your grades. The worksheets on Differentiation Formulas have been designed to offer a wide range of questions covering all details of the Differentiation Formulas and are in compliance with the k-12 curriculum. Detailed answers will be provided after you have attempted the Differentiation Formulas worksheet. Each worksheet will have around 10 questions and there are multiple worksheets available to try out.

• Concavity and Points of Inflection Worksheet

1. Determine the concavity of f(x) = x3 –3x2 −9x + 13 and identify any points of inflection of f(x)?
• Concave downward on (−∞, 2) and concave upward on (2, + ∞), and function has a point of inflection at (0, 1)
• Concave downward on (−∞, -1) and concave upward on (-1, + ∞), and function has a point of inflection at (0, 1)
• Concave downward on (−∞, -1) and concave upward on (2, + ∞), and function has a point of inflection at (0, 1)
• Concave downward on (−∞, 1) and concave upward on (1, + ∞), and function has a point of inflection at (0, 1)
2. Find the concavity of f(x) = x3 –6x2 and identify any points of inflection of f(x)?
• Concave downward on (−∞, 2) and concave upward on (2, + ∞), and function has a point of inflection at (2, 11)
• Concave downward on (−∞, -1) and concave upward on (-1, + ∞), and function has a point of inflection at (2, 11)
• Concave downward on (−∞, 2) and concave upward on (2, + ∞), and function has a point of inflection at (2, -16)
• Concave downward on (−∞, 1) and concave upward on (1, + ∞), and function has a point of inflection at (0, 1)
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• Product Rule Worksheet

1. Rewrite the following as single exponent using product rule, 43 x 4 = ?
• 256
• -264
• 265
• 260
2. Evaluate y=(x2+2)(x+2), using product rule?
• -x3+2x2+2x+4
• x3+2x2+2x+4
• x3+2x2+2x
• x3+2x2+4
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• Elementary Rules of Differentiation Worksheet

1. Solve d(x)/ dx, using elementary rule of differentiation?
• 1
• 2
• 2x
• x
2. Solve d(7x)/ dx, using elementary rule of differentiation?
• 5
• 7
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• Inverse Function Rule Worksheet

1. Find the inverse of the function f(x) = (x-1)3 -7?
• 1+3Ń´y-7
• 1-3Ń´y-7
• -1+3Ń´y-7
• 3Ń´y-7
2. Find the inverse of the function f(x) = 3x+1?
• (x – 1)/3
• -(x – 1)/3
• -1+3
• (x + 1)/3
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• Chain Rule Worksheet

1. Solve    using Chain rule of differentiation?

2. Solve the problem using chain rule of differentiation , ?
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• Differentiation is Linear Worksheet

1. Solve the linear differential equation x2dy/dx = -3y?

2. Find the solution of the given differential equation, dy / dx – y – xex = 0?
• ex {(x2 / 2) + C}
• e2x {(x2 / 2) + C}
• ex {(x / 2) + C}
• e-x {(x / 2) - C}
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• Differential Formulas worksheet

1. Differentiate the following function with respect to x, f(x)=17 x100 – 5 x14 + 5x-4 – 46?
• 1700 x99 – 70 x13 – 20 x -3
• 1700 x99 – 70 x13 – 20 x -5
• 1700 x95 – 70 x13 – 20 x -5
• 170 x99 – 70 x12 – 20 x -5
2. Find the differentiation of the function f (x) = x cos x?
• x cos x + sin x
• x cos x - sin x
• cos x - x sin x
• cos x + x sin x
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