Differentiate y = (1x + 2)^4 and evaluate dy/dx at x = 0.
Answer and explanation
Correct answer: A. 32
- Step 1: Apply the chain rule: dy/dx = 4 x 1 x (1x + 2)^3.
- Step 2: At x = 0 the inner expression equals 2.
- Step 3: dy/dx = 4 x 1 x 2^3 = 32.
Answer
32.
Why not the others: '16' evaluates y instead of dy/dx; '64' does not lower the exponent by one; '8' forgets to bring down the exponent 4.
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