Let . Find at…

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

Problem

Let

y=\sqrt{1+3x^{2}}

. Find

\dfrac{d^{2}y}{dx^{2}}

x=2

. (a)

-\dfrac{3}{13^{3/2}}

(b)

\dfrac{9}{13^{3/2}}

(c)

\dfrac{3}{13^{3/2}}

(d)

\dfrac{3}{\sqrt{13}}

Related theory

Advanced Differentiation
Higher-Order Derivatives
Differentiation Rules
Second order derivatives
Continuity and Differentiability

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