The angle between the tangents to the curves and at (1, 1) is

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

Problem

The angle between the tangents to the curves

y = x^2

and

x = y^2

at (1, 1) is (a)

\cos^{-1} \frac{3}{5}

(b)

\sin^{-1} \frac{4}{5}

(c)

\tan^{-1} \frac{3}{4}

(d)

\tan^{-1} \frac{1}{3}

Related theory

Angle Between Two Lines
Straight Lines
Advanced Differentiation
Implicit and parametric differentiation
Derivatives of implicit functions
Continuity and Differentiability

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