Q.1 (B) (i) State whether true or false: If y=20+15x+x² then dx/dy=1/15+2x .

Answer: True dy/dx=15+2x . By the derivative of the inverse function, dx/dy=1/dy/dx=1/15+2x (for 15+2x≠ 0 ).

State whether true or false: If \(y=20+15x+x^2\) then \(\frac{dx}{dy}=\frac{1}{15+2x}\).

Q.1 (B) (i) State whether true or false: If \(y=20+15x+x^2\) then \(\frac{dx}{dy}=\frac{1}{15+2x}\).

Doubtly Asked 28 Oct 2026 Board exam · March 2026 hsc 12th Save WhatsApp Report

Best answer

Answer: True

\(\frac{dy}{dx}=15+2x\). By the derivative of the inverse function, \(\frac{dx}{dy}=\frac{1}{dy/dx}=\frac{1}{15+2x}\) (for \(15+2x\ne 0\)).

Doubtly AI · 28 Oct 2026 AI-verified · Oct 2026 Report

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