Differentiation (1) Flashcards

1
Q

Differentiation of x^2

A

2x

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2
Q

2x

A

Differentiation of x^2

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3
Q

Differentiation of x^-2

A

-2x^-3 = - 2/(x^3)

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4
Q

-2x^-3 = - 2/(x^3)

A

Differentiation of x^-2

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5
Q

Differentiation of x^(1/2)

A

1/2 x^(-1/2)

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6
Q

1/2 x^(-1/2)

A

Differentiation of x^(1/2)

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7
Q

What is the tangent?

A

The gradient of the curve

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8
Q

The gradient of the curve

A

What is the tangent?

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9
Q

What is the normal?

A

-1 / tangent

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10
Q

-1 / tangent

A

What is the normal?

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11
Q

When f’‘(x)<0

A

A maximum and concave

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12
Q

A maximum and concave

A

When f’‘(x)<0

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13
Q

A minimum and convex

A

When f’‘(x)>0

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14
Q

When f’‘(x)>0

A

A minimum and convex

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15
Q

What is the differentiation of speed?

A

Acceleration

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16
Q

Acceleration

A

What is the differentiation of speed?

17
Q

Formula to differentiate a parametric?

A

(dy/dx) = (dy/dt) / (dx/dt)

18
Q

(dy/dx) = (dy/dt) / (dx/dt)

A

Formula to differentiate a parametric?