d dx d du d dz d [12 cos ¹2x] dy d dq [4 sec ¹3u] [10 tan-¹2z] [6 csc-¹4y] [9 cot-¹39]

Q: Csc(2 x) cot (37

A:

Q: The graph of a function f is shown. The graphs of three of its antiderivatives g, h, and p are also…

A: topic - anti derivative of a function

Q: Differentiate y=sinx+cosx+tanx

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Q: Differentiate sin y =a'

A: Consider  y=asin−1x2

Q: COs 2x cotx x – tanx %3D sinx · cOsx

A:

Q: 2 dr x>1 rVF - 1

A: We will find the integral as following.

Q: Let 5 sin⁡x+ 7 cos⁡ y=6. dy/dx= d^2y/dx^2

A: 5sinx+7cosy=6Differentiate w.r.t x5cosx-7sinydydx=05cosx=7sinydydxdydx=5cosx7siny

Q: e Six dx xX (1+lux)

A: We use the method of substitution to evaluate the given integral

Q: sec x tanx (1+sec'x)² + sec

A: substitute u= sec3(x)+1 du/dx=3sec3(x)tan(x) dx = du/(3sec3(x)tan(x)) put this in equation  1/3∫…

Q: y = sin 2rx

A:

Q: Find dy. y=tan-1(ex^10)   dy=(______) dx

A: