Math 2024 Test # 1 Fall ×: Larson, Calculus, 10e Math 2024 Makeup test y =7 x ta

Question

Math 2024 Test # 1 Fall ×: Larson, Calculus, 10e Math 2024 Makeup test y =7 x tanh ^{-1}( )+7 In © Find The Derivative Of: Y Mathway Math Proble GladdenX × X × × × www.webassign.net/web/Student/Assignment-Responses/submit?dep=14866655 My Not time lei me left.. 9. +-/1 points LarCalc10 5.8.074 sk Your Teacher 0:48:46 Find the derivative of the function Submit Answer Save Pr 10. + -12 points LarCalc10 7.1.004 My Notes Ask Your Teacher Set up the definite integral that gives the area of the region 0.8 y 0.6 0.4 0.2 -0.2 0.2 0.4 0.6 0.8 11.2 -0.2 11. + -11 points LarCalc10 5.2.016 My Notes Ask Your Teacher

Explanation / Answer

9)given y =7xtanh-1x +7ln(1-x2)

y =7xtanh-1x +7ln(1-x2)1/2

y =7xtanh-1x +7(1/2)ln(1-x2)

y =7xtanh-1x +(7/2)ln(1-x2)

differentiate with respect to x:

product rule:(uv)'=u'v +uv', d/dx f(g(x))=f '(g(x))*g'(x) ,d/dx xn =nxn-1

y' =(7*1*tanh-1x +7x(1/(1-x2)) +(7/2)(1/(1-x2))*(0-2x)

y' =7tanh-1x +(7x/(1-x2)) - (7x/(1-x2))

y' =7tanh-1x

10)y1=x4,y2=x5

x4=x5

x5-x4=0

x4(x-1)=0

x=0 ,x=1

arae of region=[0 to 1](x4-x5) dx

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