Determine the positive constant such that d dx [ (kx) ]=-8 ^ 2 (kx).

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

Problem

Determine the positive constant

k

such that

\frac{d}{dx}\bigl[\cot(kx)\bigr]=-8\csc^{2}(kx).

Related theory

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

Browse the problem library