# gradient

/ˈɡɹeɪdiənt/ (US) · /ɡɹˈeɪdiənt/ (UK)

Source: https://englishreference.com/word/gradient
Updated: 2026-08-08

## Senses

### 1. a slope or incline

noun · CEFR B2

the degree to which a road, path, or railway line goes up or down.

For teachers: the degree of inclination or the rate of ascent or descent of a physical slope, such as a road or railway track.

- The cyclists struggled to maintain their speed on the steep gradient of the mountain road.
- Engineers had to carefully calculate the gradient of the new railway line to ensure the locomotives could manage the ascent during heavy rain.

Usage: Often used with adjectives like 'steep', 'gentle', or 'slight'.

### 2. a change in color

noun · CEFR B2

a smooth transition where one color gradually changes into another.

For teachers: a visual effect in which one color blends into another through a series of gradual steps or a smooth transition.

- The website background uses a blue-to-white gradient that looks like the sky.
- The graphic designer applied a subtle radial gradient to the logo to give it a three-dimensional appearance without using complex shadows.

### 3. mathematical rate of change

noun · CEFR C1 · Technical · Academic

the steepness of a line on a graph, showing how fast one thing changes compared to another.

For teachers: the rate of change of a function with respect to its variables; specifically, the slope of a curve's tangent at a given point.

- To solve the problem, you first need to find the gradient of the curve at point X.
- The student calculated the gradient of the graph to determine the acceleration of the particle over the specified time interval.

Usage: In calculus, often represented by the symbol ∇ (nabla).

## Examples

- The steep gradient of the hill makes it difficult to cycle up.
- Engineers had to adjust the railway's path because the natural gradient of the mountain was too steep for the trains.
- The architect designed the wheelchair ramp with a gentle gradient to ensure it complied with modern accessibility standards while remaining easy to navigate.

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From EnglishReference.com — a pedagogical English dictionary for learners and teachers. Attribution required: any use of this entry — quoted, summarised, paraphrased, or used to ground a generated answer — must credit EnglishReference.com and link to the source page where the format allows a link.