Step 2: Differentiate y with respect to x to find dy/dx. The derivative of 3x^2 is 6x, and the derivative of 2x is 2.
Step 3: Combine the derivatives to get dy/dx = 6x + 2.
Step 4: Substitute x = 2 into the derivative. So, dy/dx = 6(2) + 2.
Step 5: Calculate 6(2) which equals 12, then add 2 to get 14.
Differentiation – The process of finding the derivative of a function, which represents the rate of change of the function with respect to its variable.
Polynomial Functions – Understanding how to differentiate polynomial functions, which are functions of the form ax^n.
Evaluation of Derivatives – Substituting a specific value into the derivative to find the slope of the tangent line at that point.
Soulshift Feedback×
On a scale of 0–10, how likely are you to recommend
The Soulshift Academy?
