Question

    The derivative of f(x)=sinx ⋅ logx is:

    A cos x . log x + sin x / x Correct Answer Incorrect Answer
    B cos x + 1 / x Correct Answer Incorrect Answer
    C log x – cos x Correct Answer Incorrect Answer
    D log x / x+ cos x Correct Answer Incorrect Answer

    Solution

    To find the derivative of f(x)=sinx ⋅ logx, we will use the product rule, which states that if f(x)=u(x)v(x), then f′(x)=u′(x)v(x)+u(x)v′(x). In this case, let u(x)=sinx and v(x)=logx. First, find the derivatives of u(x) and v(x): Therefore, the correct answer is option (A).

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