Question

Question 4. please provide step by step solution. 3. Find the equation of the tangent line to the curve \( f(x)=\left(e^{3 x^{2}-12}+2 x\right)^{2} \) at \( x=2 \). 4. Let \( f(x)=\frac{3-\sqrt{x}}{1+\sqrt{x}} \). Find the equation of the tangent lin

Answer 1

The solution involves finding the slope of the curve at a specific point by taking the derivative and using the slope-point form to determine the equation of the tangent line.

Step-by-step explanation:

The process for finding the equation of a tangent line to a curve involves calculating the slope of the curve at a specific point, usually by taking the derivative of the function and evaluating it at that point.

From there, using the slope-point form of a line, you can establish the equation for the tangent line. The provided information appears to be related to a physics context regarding positions at different times, but the mathematical principle for finding the tangent remains the same.