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Solve the equation: y=x^(2)+8x

Solve the equation: y=x2+8xy=x^{2}+8x

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Find derivatives using the chain rule Iright chevron icon

Full solution

Q. Solve the equation: y=x2+8xy=x^{2}+8x
  1. Identify Function: Identify the function to differentiate. The function is y=x2+8xy = x^{2} + 8x.
  2. Differentiate x2x^{2}: Differentiate the first term of the function, x2x^{2}. The derivative of x2x^{2} with respect to xx is 2x2x.
  3. Differentiate 8x8x: Differentiate the second term of the function, 8x8x. The derivative of 8x8x with respect to xx is 88.
  4. Combine Derivatives: Combine the derivatives of the individual terms to find the derivative of the entire function. The derivative of y=x2+8xy = x^{2} + 8x is dydx=2x+8\frac{dy}{dx} = 2x + 8.

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