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daedalus

mcp-parigp

deriv

Compute the derivative of a polynomial. Provide the polynomial as a string and optionally specify the variable.

Instructions

Compute the derivative of a polynomial.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
vNoVariable name.x
polYesPolynomial as a string.
Behavior2/5

Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?

No annotations provided, so description must disclose behavior. It only says 'compute the derivative,' which implies a read/computation operation. No mention of side effects, permissions, or return format. Minimal transparency.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Conciseness5/5

Is the description appropriately sized, front-loaded, and free of redundancy?

Single sentence, no wasted words. Front-loaded with essential purpose.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Completeness3/5

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

Given no output schema and simple function, description is adequate but minimal. Doesn't specify output format, error handling, or any constraints like polynomial degree limits.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Parameters3/5

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

Input schema has 100% coverage of properties with descriptions for both 'pol' and 'v'. Description adds no extra meaning beyond the schema, so baseline 3 is appropriate.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Purpose4/5

Does the description clearly state what the tool does and how it differs from similar tools?

Description states 'Compute the derivative of a polynomial' with a specific verb and resource. Among siblings, it's the only derivative tool, so differentiation is clear. Lacks explicit mention that it returns a polynomial string, but still functional.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Usage Guidelines2/5

Does the description explain when to use this tool, when not to, or what alternatives exist?

No guidance on when to use this tool vs alternatives, no prerequisites, no exclusions. Sibling tools include polynomial generation and root-finding, but no comparative context is given.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.

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