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State whether the following statement is true or false: If y = 20 + 15x + x2 then dx/dy = 1/(15 + 2x) - Mathematics and Statistics

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Question

State whether the following statement is true or false:

If y = 20 + 15x + x2 then `dx/dy = 1/(15 + 2x)`

True or False
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Solution

This statement is true.

Explanation:

y = 20 + 15x + x2

Differentiate w.r.t.x:

`dy/dx = 15 + 2x`

`dx/dy = 1/(dx/dy)`

`dx/dy = 1/(15 + 2x`

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2025-2026 (March) Board Question Paper
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