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IB Calculus Derivatives JD Flashcards | StudBud

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IB Calculus Derivatives JD

9 terms·StudBud Administration·24 plays

A math quiz designed to prepare students for the IB SL Calculus test.

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Questions 9

Answers

1
f(x) = 5x⁴ - 2x², Find f''(x)
f''(x) = 20x3 - 4x
f''(x) = 60x2 - 4
f''(x) = 20x3 + 4x
f''(x) = 60x2 + 4
2
f(x) = (x²)(e^x), Find f'(x)
f'(x) = (x2)(lnx) + (ex)(2x)
f'(x) = (x2)(ex) + (ex)(2x)
f'(x) = (x2)(ex) + (lnx)(2x)
f'(x) = (x2)(ex) + (ex)(2x)
3
Find the gradient function for y=ln(x³ -3x).
1/(x3 -3)
(3x2-3)/(x3-3x)
3x2/(x3-3)
4
f(x) = x²(-3x² - 2), Find f'(x)
f'(x) = (2x)(-6x) + (-3x2 - 2)(x2)
f'(x) = (x2)(-6x) - (-3x2 - 2)(2x)
f'(x) = (2x)(-6x) - (-3x2 - 2)(x2)
f'(x) = (x2)(-6x) + (-3x2 - 2)(2x)
5
What is the gradient at x=π/2 for f(x)=cos3x-sinx ?
-1
1
-3
3
6
f(x) = x²/x, Find f'(x)
f'(x) = 1
f'(x) = x
f'(x) = -1
f'(x) = -x
7
f(x) = (5x + 7)(2x³ - 8x), Find f'(x)
f'(x) = (6x2 - 8)(2x3 - 8x) + (5x + 7)(5)
f'(x) = (5x + 7)(6x2 - 8) - (2x3 - 8x)(5)
f'(x) = (6x2 - 8)(2x3 - 8x) - (5x + 7)(5)
f'(x) = (5x + 7)(6x2 - 8) + (2x3 - 8x)(5)
8
f(x) = 2/(x⁵ + 5), Find f'(x)
f'(x) =[2(5x4)]/(x5 + 5)2
f'(x) =[(2)(x5 + 5)]/(x5 + 5)2
2(x5 + 5)
f'(x) = (2)(5x4)(x5 + 5)2
9
f(x) = -4x³- 2x, Find f'(x)
f'(x) = -12x2 + 2
f'(x) = -4x2 - 2
f'(x) = -4x2 + 2
f'(x) = -12x2 - 2