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1.9.17 Concavity and the second derivative (A-level only)

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Question 38

The function fff is defined for x>0x > 0x>0 by

f(x)=3x−10x+2f(x) = 3x - 10\sqrt{x} + 2f(x)=3x−10x​+2
a.

Solve the equation f(x)=10f(x) = 10f(x)=10.

[3]
b.

Solve the equation f′′(x)=516f''(x) = \frac{5}{16}f′′(x)=165​.

[4]

1.9.17 Concavity and the second derivative (A-level only) Questions

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