Differentiating inverse functions and implicit relationships

Differentiating inverse functions and implicit relationships Quiz

Spec 4.3 · Edexcel International A Level Maths: Quiz

Studying this course? Keep your progress in one place.

Pick an answer for each. Quizzes never use energy.

5 questions, one answer each

Each answer is checked as you go, with why.

See all 5 questions

  1. 1. A curve has equation x=sin⁡3yx=\sin 3y. Find dydx\frac{dy}{dx}.

    • A. 3cos⁡3y3\cos 3y
    • B. 13cos⁡3y\frac{1}{3\cos 3y}
    • C. 1cos⁡3y\frac{1}{\cos 3y}
    • D. −13sin⁡3y-\frac{1}{3\sin 3y}

  2. 2. A curve has equation x=e2yx=e^{2y}. Find dydx\frac{dy}{dx} in terms of xx.

    • A. 2x2x
    • B. 1x\frac{1}{x}
    • C. 12x\frac{1}{2x}
    • D. x2\frac{x}{2}

  3. 3. A curve has equation x=y3+yx=y^3+y. Find the gradient where y=1y=1.

    • A. 44
    • B. 14\frac14
    • C. 13\frac13
    • D. 22

  4. 4. A curve has equation x=cos⁡2yx=\cos 2y for 0<y<π20<y<\frac{\pi}{2}. Find dydx\frac{dy}{dx}.

    • A. −12sin⁡2y-\frac{1}{2\sin 2y}
    • B. 12sin⁡2y\frac{1}{2\sin 2y}
    • C. −2sin⁡2y-2\sin 2y
    • D. 12cos⁡2y\frac{1}{2\cos 2y}

  5. 5. A curve has equation x=tan⁡yx=\tan y for −π2<y<π2-\frac{\pi}{2}<y<\frac{\pi}{2}. Which expression gives dydx\frac{dy}{dx} in terms of xx?

    • A. 1+x21+x^2
    • B. 1x2−1\frac{1}{x^2-1}
    • C. 1x\frac{1}{x}
    • D. 11+x2\frac{1}{1+x^2}

Quiz