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If f(x)=(1+x)(1+x^2)(1+x^3)(1+x^4), then...

If `f(x)=(1+x)(1+x^2)(1+x^3)(1+x^4)`, then f'(0)=1

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To find \( f'(0) \) for the function \( f(x) = (1+x)(1+x^2)(1+x^3)(1+x^4) \), we will use logarithmic differentiation. Here’s a step-by-step solution: ### Step 1: Take the logarithm of both sides We start by taking the natural logarithm of \( f(x) \): \[ \log f(x) = \log((1+x)(1+x^2)(1+x^3)(1+x^4)) \] ...
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