Inverse Trig Derivative Calculator
Differentiate A inverseTrig(kx + b)
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Inverse Trig Derivative Formulas d/dx arcsin u = u'/sqrt(1-u^2), arccos u = -u'/sqrt(1-u^2), arctan u = u'/(1+u^2)
Use the chain rule when the inverse trig input is a function of x.
⚠ Domain restrictions matter for inverse trig functions. This symbolic tool focuses on derivative form.
How Inverse Trig Differentiation Works Identify the inverse function, set u = kx+b, apply the derivative formula, and multiply by u'.
Arcsin
Produces a square-root denominator.
Arccos
Same denominator as arcsin, with a negative sign.
Arctan
Uses denominator 1+u^2.
Chain Rule
Multiply by k for u = kx+b.
Example: d/dx arcsin(2x) = 2 / sqrt(1 - (2x)^2).
Applications Calculus Inverse Functions Optimization Physics
Frequently Asked Questions What is the derivative of arcsin x?▼
The derivative of arcsin x is 1/sqrt(1-x^2).
What is the derivative of arccos x?▼
The derivative of arccos x is -1/sqrt(1-x^2).
What is the derivative of arctan x?▼
The derivative of arctan x is 1/(1+x^2).
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