5: Find- dx of the function y = tan ¹Vx² 1 + esc-¹x

Q: Graph the function y=-sin2x on [-pi,0]

A:

Q: Find the derivative of the function y = 9 sec- (x + 5). (Use symbolic notation and fractions where…

A:

Q: Find the nth order derivative of the function y=sin2x.

A:

Q: Derive the formula dy/dx= 1/ (1 + x2) for the derivative of y = tan-1 x by differentiating both…

A: Given,

Q: Find the derivative y= tanx/1+cosx

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Q: Differentiate the function. y = ear³ y' =

A: The general formula for differentiating the exponential function is, dy/dx = differentiate…

Q: linearize the following equation to get the function f(×)=x 3 sin x + 4 cos x = e^x - 3

A: Given function is f(x)=x3sinx+4cosx=ex-3⇒f(x)=x3sinx+4cosx-ex+3=0 Let we have to linearize given…

Q: Differentiate the function. u = Vi + 4Vt3 u' =

A: The given function is,