   Chapter 2.5, Problem 34E

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# Find the derivative of the function. y = sin ( 1 + x 2 )

To determine

To find:

The derivative of a function

Explanation

Rules:

a) Product rule: ddx(uv)=udvdx+vdudx

b) Chain rule: If Fx=fogx=fgx then F'x=f'gx*g'x

c) Constant multiple rule: ddx(Cf(x))=Cddx(f(x))

d) Power function rule : ddxxn=nxn-1

e) Difference rule: ddxfx-gx=ddxfx-ddxgx

g) Constant function rule: d(C)dx=0

h) Rule: ddxsinx=cosx,  ddxsecx=secx.tanx

Given:

y=fx=sin(1+x2)

Calculation:

fx=sin(1+x2)

Differentiate given function w

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