Limits, Continuity & Differentiability
Implicit differentiation
Grade 12
Question:
<p>If <span class="math">f(-10\sqrt{2}) = 2\sqrt{2}</span>, then <span class="math">f'(-10\sqrt{2}) = </span></p>
<p>(A) <span class="math">\frac{4\sqrt{2}}{7 \cdot 3^{3/2}}</span></p>
<p>(B) <span class="math">-\frac{4\sqrt{2}}{7 \cdot 3^{3/2}}</span></p>
<p>(C) <span class="math">\frac{4\sqrt{2}}{3 \cdot 7^{3/2}}</span></p>
<p>(D) <span class="math">-\frac{4\sqrt{2}}{3 \cdot 7^{3/2}}</span></p>
Step-by-Step Solution
Key Concept: Apply implicit differentiation with respect to x and evaluate at the given point.
<p>Use implicit differentiation on the given relation to find <span class="math">f'(-10\sqrt{2})</span>.</p>
Correct Answer: B