a) Evaluate the limit lim x→0 tan(2x) / x b) Differentiate y = x^tan(x) c) Find...

a) Evaluate the limit lim x→0 tan(2x) / x

b) Differentiate y = x^tan(x)

c) Find the equation of the tangent line to 4x^2 + 2xy−y^2 = 4 at the point (1, 2).

d) Differentiate f(x) = arctan(x^2 + 1)

e) Differentiate f(x) = ln(cosh x)

Thank you!

Expert Solution

milcah answered 2 years ago

FInd the limit. 2a) lim (x,y)-->(0,0) (-5x^2)/(2x^2+3y^2) 2b) lim (x,y)-->(0,0) tan(x^2+y^2)arctan(1/(x^2+y^2)) 2c) lim (x,y)-->(2,4) (y^2-2xy)/(y-2x)

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Question

a) Evaluate the limit lim x→0 tan(2x) / x b) Differentiate y = x^tan(x) c) Find...

Solutions

Expert Solution

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FInd the limit. 2a) lim (x,y)-->(0,0) (-5x^2)/(2x^2+3y^2) 2b) lim (x,y)-->(0,0) tan(x^2+y^2)arctan(1/(x^2+y^2)) 2c) lim (x,y)-->(2,4) (y^2-2xy)/(y-2x)

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