
Strategy in differentiating functions (article) | Khan Academy
To alleviate this struggle, we want to learn to quickly categorize functions, know which rule to apply, and even rewrite functions in different forms to make differentiation easier.
Differentiation: definition and basic derivative rules - Khan Academy
The 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.
Differentiating polynomials (video) | Khan Academy
Let's explore how to differentiate polynomials using the power rule and derivative properties. We work with the function f (x)=x⁵+2x³-x² and apply the power rule to find its derivative, f' …
Derivatives: definition and basic rules | Khan Academy
The derivative of a function describes the function's instantaneous rate of change at a certain point. Another common interpretation is that the derivative gives us the slope of the line …
Differentiating rational functions review - Khan Academy
Review your rational function differentiation skills and use them to solve problems.
Chain rule (article) | Khan Academy
The chain rule tells us how to find the derivative of a composite function. Brush up on your knowledge of composite functions, and learn how to apply the chain rule correctly.
Differentiation: composite, implicit, and inverse functions | Khan …
This is an exceptionally useful rule, as it opens up a whole world of functions (and equations!) we can now differentiate. Also learn how to use all the different derivative rules together in a …
Differentiating related functions intro (video) | Khan Academy
In this video, we explore how to differentiate related functions. We'll use the chain rule to find the derivatives of these functions, all linked to the same variable. It's a cool way to see how …
Worked example: Derivative of ln (√x) using the chain rule
In this worked example, we dissect the composite function f (x)=ln (√x) into its parts, ln (x) and √x. By applying the chain rule, we successfully differentiate this function, providing a clear step-by …
Differentiating logarithmic functions review - Khan Academy
Review your logarithmic function differentiation skills and use them to solve problems.