If , then is (where represents the th derivative of w.r.t.…

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

Problem

y^{1/m}=\left(x+\sqrt{1+x^2}\right)

, then

(1+x^2)y_2+xy_1

is (where

y_r

represents the

r

th derivative of

y

w.r.t.

x

) (a)

m^2y

(b)

my^2

(c)

m^2y^2

(d) none of these

Related theory

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

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