Differentiation | search
Click here to view Differentiation news from 60+ newspapers.
Bookmark or Share- Differentiation in Calculus (Derivative Rules, Formulas, Solved Examples)Differentiation is a process, in Maths, where we find the instantaneous rate of change in function based on one of its variables. The most common example is the rate change of displacement with respect to time, called velocity. The opposite of finding a derivative is anti-differentiation.
- Introduction to Derivatives - Math is FunNow follow these steps: Fill in this slope formula: Δy Δx = f (x+Δx) − f (x) Δx. Simplify it as best we can. Then make Δx shrink towards zero. Like this: Example: the function f (x) = x2. The slope formula is: f (x+Δx) − f (x) Δx. Use f (x) = x2: (x+Δx)2 − x2 Δx. Expand (x+Δx) 2 to x 2 +2x Δx+ (Δx) 2: x2 + 2x Δx + (Δx)2 − x2 Δx.
- 3.3 Differentiation Rules - Calculus Volume 1 | OpenStaxThis free textbook is an OpenStax resource written to increase student access to high-quality, peer-reviewed learning materials.
- Differentiation: definition and basic derivative rules | Khan AcademyThe derivative of a function describes the function's instantaneous rate of change at a certain point - it gives us the slope of the line tangent to the function's graph at that point. See how we define the derivative using limits, and learn to find derivatives quickly with the very useful power, product, and quotient rules.
- Derivative - Wikipediat. e. The derivative is a fundamental tool of calculus that quantifies the sensitivity of change of a function 's output with respect to its input. The derivative of a function of a single variable at a chosen input value, when it exists, is the slope of the tangent line to the graph of the function at that point.
More
