Find all real numbers at which the graph of has a horizontal tangent.

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

Problem

Find all real numbers

x

at which the graph of

y=\arctan(4x-1)

has a horizontal tangent.

Related theory

Advanced Differentiation
Derivatives of standard functions via chain rule
Derivatives of inverse trigonometric functions
Continuity and Differentiability

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