Find the slope of the functio \[ f(x)=x^{2}+1,(-5,26) \] What is the slope of the fun \( m=\square \) (Simplify your ans

To find the slope of the function \( f(x) = x^2 + 1 \) at the point (-5, 26), we need to calculate the derivative of the function. The derivative \( f'(x) = 2x \). Now, plug in \( x = -5 \): \[ f'(-5) = 2(-5) = -10 \] So, the slope at the point (-5, 26) is \( m = -10 \). When calculating slopes or derivatives, always verify your derivatives and calculations. A common mistake is using the wrong point for evaluation; ensure the point lies on the curve by substituting \( x \) into the original function. In this case, \( f(-5) = (-5)^2 + 1 = 26 \), confirming that the point is correct. Keep practicing to avoid these slip-ups!