How to check your differentiation answers in H2 Math

How to check your differentiation answers in H2 Math

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Frequently Asked Questions

Apply the chain rule in reverse to integrate your differentiated result and see if you arrive back at the original function.
After differentiating, substitute specific x-values into both the original function and its derivative to check for consistent behavior.
Graph both the original function and its derivative on a graphing calculator to visually confirm the derivative matches the functions slope.
Yes, use online differentiation calculators to independently compute the derivative and compare it with your solution.
Systematically apply differentiation rules (power rule, product rule, quotient rule) in reverse to check if the differentiated result leads back to the original function.
For implicit differentiation, substitute the solution back into the original equation to ensure consistency, especially when dealing with related rates.
Find the tangent to the original function at a point and ensure that the gradient of the tangent equals the derivatives value at that point.
If the function represents a physical quantity (e.g., position), verify the derivative (e.g., velocity) makes sense in the context of the problem.