Further maths

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1

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find dy/dx when y = e^x

dy/dx = e^x.

2

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find dy/dx when y = e^u e.g e^4x+1

dy/dx = e^u x (u)’ > e^4x+1 (4x+1)’ > e^4x+1 × 4

3

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what is dy/dx when y = 3^x

dy/dx = 3^x x ln 3

4

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when y = 3^2x then dy/dx is

dy/dx = 3^2x x ln3 x (2x)’ = 3^2x x ln3 × 2