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