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{:[y=x^(4)],[(dy)/(dx)=]:}

y=x4dydx= \begin{array}{c}y=x^{4} \\ \frac{d y}{d x}=\end{array}

Full solution

Q. y=x4dydx= \begin{array}{c}y=x^{4} \\ \frac{d y}{d x}=\end{array}
  1. Calculation using power rule: Calculation: Using the power rule, we differentiate y=x4y = x^{4} with respect to xx.dydx=4x41=4x3\frac{dy}{dx} = 4\cdot x^{4-1} = 4\cdot x^{3}
  2. Math error check: Math error check: The power rule has been applied correctly, and the exponent has been reduced by 11 while the original exponent has been brought in front as a coefficient.

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