6. Evaluate: secº (1/x) tan³ (1/x) dx x² | se

Q: Is (x – 5) a factor of (2x – 9x² – 12x + 35) ? Justify your answer

A: Given equation is  2x3 -9x2-12x+35 Whether (x-5) s a factor or not?

Q: SHOW THAT : csc² (2 cot¯ /x -1 dx X - 1 Vx +x/x

A:

Q: d arctan (tanh x) dx Show that sech 2.x.

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Q: d (sec x) show that secx tan x. dx

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Q: ソ=xX.sinx

A:

Q: dy Find dx y = tan (In 6x) dy dx

A:

Q: Find dy/dx    y = 5 tan6x

A: Given Data: Equation: y=5tan6x The first derivative of the tangent function is, ddxtanx=sec2x…

Q: Find the derivative of y = In (tanh x).

A:

Q: Evaluate and Graph ¹) S ( sin x (1-x) dx dy do

A: Given: ∫01∫0ysinx11-xdxdy. To Evaluate: The above integral. To Sketch: the graph of the region of…

Q: A. Evaluate. 1 (sinhx - sinhx +coshx cosh?x 1. dx

A:

Q: Integrate: ∫ 3cos(2πx) dx

A: The given integral is ∫ 3cos2πxdx.

Q: Let f(x) = sin (1– 6x*) + (1– Vx). Find f'(x). %3D

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Q: (4 csc x cot x + 2 sec² x) dx

A:

Q: Consider the following: 25x squared +64y squared =1600 C) differentiate the explicit functions…

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Q: x2 tan In y

A: Here we can find dy/dx as below

Q: What is the missing value?

A: We have to find missing value. We know that, ddxcsc-1x=-1xx2-1 Chain rule of differentiation states…