Maths Differentials Flashcards

1
Q

Differentiate sin kx

A

kcos kx

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2
Q

Differentiate cos kx

A

-ksin kx

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3
Q

Differentiate -sin x

A

-cos x

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4
Q

Differentiate -cos x

A

sin x

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5
Q

Differentiate e^kx

A

ke^kx

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6
Q

Differentiate ln x

A

1/x (if ln kx, write as lnk + lnx)

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7
Q

Equation to find dy/dx when not in form y = f(x)

A

1/(dx/dy)

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8
Q

Differentiate cosec kx

A

-kcosec kx cot kx

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9
Q

Differentiate sec kx

A

ksec kx tan kx

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10
Q

Differentiate cot kx

A

-kcosec^2 kx

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11
Q

Differentiate arcsin x

A

1/(√(1-x^2))

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12
Q

Differentiate arccos x

A

-1/(√(1-x^2))

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13
Q

Differentiate arctan x

A

1/1+x^2

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14
Q

Differentiate tan kx

A

k sec^2 kx

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15
Q

Differentiate a^x

A

a^x ln a

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16
Q

Differentiate a^kx

A

k(ln a)a^kx