Find the slope of the tangent to the curve at the origin .

Answer and explanation

Correct answer: C.

  1. Step 1: Differentiate implicitly with respect to : .
  2. Step 2: Substitute and : .
  3. Step 3: Solve for derivative: .
Answer
\frac{2}{3}.
Why not the others: '' inverts the fraction; '' makes a sign error when transposing 4; '' combines inversion with a sign error.

Practise more Algebra and Differential Calculus.

Free questions with an explanation for every one, and full timed Thanawiya Amma (Egypt) mock tests.