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(d)/(dx)[x^(9)]=

ddx[x9]= \frac{d}{d x}\left[x^{9}\right]=

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Csc, sec, and cot of special anglesright chevron icon

Full solution

Q. ddx[x9]= \frac{d}{d x}\left[x^{9}\right]=
  1. Apply Power Rule: To find the derivative of x9x^9 with respect to xx, we use the power rule for differentiation. The power rule states that if f(x)=xnf(x) = x^n, then f′(x)=nxn−1f'(x) = nx^{n-1}.
  2. Calculate Derivative: Applying the power rule to x9x^9, we get the derivative as 9×x9−1=9×x89 \times x^{9-1} = 9 \times x^8.
  3. Final Result: There is no need to simplify further, as 9×x89 \times x^8 is already in its simplest form.

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