Let , where is a nonzero constant. If , what is the value of…

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

Problem

Let f(x)=kx2+3x+1f(x)=kx^{2}+3x+1, where kk is a nonzero constant. If (f−1)′(15)=111(f^{-1})'(15)=\dfrac{1}{11}, what is the value of kk? (a) 4 (b) \dfrac{13}{7} (c) 2 (d) \dfrac{44}{7}

Related theory

Browse the problem library