Differentiation
Derivative of Product of Two Functions
1. Concept Overview When a function is the product of two simpler functions, we do not differentiate each term separately!
Example 1 – Derivative of Sum and Difference of Two Functions
Question 1. Differentiate [f(x)=x^{4} + 2x^{2} – 7x]. Step-by-Step Solution: Identify terms: [u(x)=x^{4}], [v(x)=2x^{2}], [w(x)=-7x]. Differentiate each term using power
Derivative of Sum and Difference of Two Functions
1. Statement of the Concept The derivative of the sum (or difference) of two differentiable functions is equal to the
Differentiation of General Functions
1. Concept Overview Differentiation tells us how fast a function changes with respect to its variable. If [y = f(x)],
Differentiability
1. Concept Overview A function is said to be differentiable at a point if its derivative exists at that point.