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(d)/(dx)[x^(6)]=

$\frac{d}{d x}\left[x^{6}\right]=$

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Csc, sec, and cot of special angles

Full solution

Q.

\frac{d}{d x}\left[x^{6}\right]=

Apply Power Rule: To find the derivative of $x^6$ with respect to $x$ , we use the power rule for differentiation. The power rule states that if $f(x) = x^n$ , then $f'(x) = n \cdot x^{(n-1)}$ .
Calculate Derivative: Applying the power rule to $x^6$ , we get the derivative as $6*x^{6-1}$ , which simplifies to $6*x^5$ .
Check for Errors: There is no need to simplify further, as $6x^5$ is already in its simplest form. We should check for any possible math errors, such as incorrect application of the power rule or arithmetic mistakes.

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