WBJEE · Maths · Differentiation
The differential of \(f(x)=\log _{e}\left(1+e^{10 x}\right)-\tan ^{-1}\left(e^{5 x}\right)\) at \(x=0\) and for \(d x=0.2\) is
- A \(0.5\)
- B \(0.3\)
- C \(-0.2\)
- D \(-0.5\)
Answer & Solution
Correct Answer
(A) \(0.5\)
Step-by-step Solution
Detailed explanation
\(\begin{array}{l} \frac{f(x+d x)-f(x)}{d x}=f^{\prime}(x) \\ f(x+d x)-f(x)=f^{\prime}(x) d x \end{array}\) Now,…
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