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1.10.4 Product, quotient and chain rules (A-level only)

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Question 55
f(x)=x−35x+2+4x+125x2+17x+6 f(x) = \frac{x-3}{5x+2} + \frac{4x+12}{5x^2+17x+6} f(x)=5x+2x−3​+5x2+17x+64x+12​
a.

Express f(x)f(x)f(x) as a fraction in its simplest form.

[3]
b.

Hence find f′(x)f'(x)f′(x) in its simplest form.

[4]

1.10.4 Product, quotient and chain rules (A-level only) Questions

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