Calculus: Question Preview (ID: 20785)


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Using NATURAL LOGARITHMIC FUNCTION. What is the derivative of Dx ln cos(〖3x〗^2-2x+55).
a) (6x-2)(tan〖3x〗^2-2x+5)
b) (-6x+2)(tan〖3x〗^2-2x+5)
c) (-2+6x)(tan〖3x〗^2-2x+5)
d) (2-6x)(tan〖3x〗^2-2x+5)

Using NATURAL LOGARITHMIC FUNCTION. What is the derivative of Dx ln 〖cos〗^4 (〖3x〗^2-2x+5).
a) -8(3x-1)tan(〖3x〗^2-2x+5)
b) -8(3x+1)tan(〖3x〗^2+2x-5)
c) 8(3x-1)tan(〖3x〗^2+2x+5)
d) 8(3x+1)tan(〖3x〗^2-2x+5)

Using TRIGONOMETRIC FUNCTION . What is the derivative of F(x) = 3secx tanx.
a) (3+3sin^2)/(cos^3 x)
b) (3-3sin^2)/(cos^3 x)
c) (3+3sec^2)/(sec^3 x)
d) (3-3sin^2)/(sin^3 x)

Using TRIGONOMETRIC FUNCTION . What is the derivative of f(x) = x^2 cosx-2x sinx - 2cosx
a) x^2 sinx
b) x^2 cosx
c) -x^2 sinx
d) x^2 cosx

Using COMPOSITE FUNCTION. What is the derivative of y = cos (3x^2-2x+5).
a) (6x+2) sin ( 3x^2-2x+5)
b) (6x-2) sin ( 3x^2+2x-5)
c) (6x+2) cos ( 3x^2-2x+5)
d) (6x-2) sin ( 3x^2-2x+5)

Using COMPOSITE FUNCTION. What is the derivative of y = tan ((3-x)/(x^2-2)).
a) (x-6x+2)/((〖x^2-2)〗^2 )
b) (x+6x-2)/((〖x^2-2)〗^2 )
c) (x-6x+2)/((〖x^2+2)〗^2 )
d) (x+6x+2)/((〖x^2+2)〗^2 )

Using Power rule. Find the derivative of y = 7 x4
a) 28x^2
b) -28x^2
c) 28x^3
d) -28x^3

Using Power rule. Find the derivative of y = 2 x^3 - 4 x^2 + 3 x - 5
a) 6x^2-8x+3
b) -6x^2-8x+3
c) 8x^2-8x+3
d) -8x^2-8x+3

Using Power rule. Find the derivative of y = x^2+x^3
a) -2x + 3x^2
b) 2x + 3x^2
c) 3x + 3x^2
d) -3x + 3x^2

Using Power rule. Find the derivative of y = v3 - v4
a) 3v^2 - 4v^3
b) -3v^2 - 4v^3
c) -4v^2 - 3v^3
d) 4v^2 - 3v^3

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