Simplify when possible

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

Simplify when possible. The answers are in Chapter 23, starting on page 464. 19. Find

\frac{d y}{d x}

x=1

y=\frac{1+u}{1+u^{2}}

and

u=x^{2}-1

Related theory

Differentiation Rules
Advanced Differentiation
Derivatives of standard functions via chain rule
Derivatives of composite functions
Continuity and Differentiability

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