KCET · Maths · Differentiation
If \(y=2 x^{3 x}\), then \(d y / d x\) at \(x=1\) is
- A \(2\)
- B \(6\)
- C \(3\)
- D \(1\)
Answer & Solution
Correct Answer
(B) \(6\)
Step-by-step Solution
Detailed explanation
\(y=2 x^{3 x}\)
\(\frac{d y}{d x}=2 x^{3 x}[3 \log x+3]\)
So, \(\left.\frac{d y}{d x}\right|_{x=1}=2 \cdot(1)^{3(1)}[3 \times 0+3]\)
\(=6+0=6\)
\(\frac{d y}{d x}=2 x^{3 x}[3 \log x+3]\)
So, \(\left.\frac{d y}{d x}\right|_{x=1}=2 \cdot(1)^{3(1)}[3 \times 0+3]\)
\(=6+0=6\)
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