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Excalidraw Data
Text Elements
-2x^4 + 5x + x^(3/2) + 7/x -8x^3 + (3/2)x^(1/2) -7x^-2 + 5x
derivative of f(x) * g(x) = derivative of f(x)*g(x) + derivative of g(x)*f(x)
(3-4x)(5+4x) + (3x-2x^2)(4) 15+12x-20x-16x^2 + 12x -8x^2 15 + 24x -20x -16x^2 -8x^2 15 + 4x -24x^2 -24x^2 + 4x + 15
(x^-1)(x-1)
(-x^-2)(x-1) + (x^-1 +1)(1) -x^-1 + x^-2 + x^-1 + 1 x^-2 + 1 1/x^2 + 1
(2)(x^2+3x) + (2x + 3)(2x) 2x^2+6x + 4x^2 + 6x 2x^2 + 4x^2 + 12x 6x^2 + 12x
(3)(7x-2) - (3x+4)(7) 21x-6 - 21x - 28 -6 - 28 -34
-34/(7x-2)^2
(4x-4)(2-3x) - (-3)(2x^2-4x+3) 8x-12x - (-6x^2 +12x -9) 8x-12x + 6x^2 -12x +9 8x -24x +6x^2 +9 -16x + 6x^2 + 9
-16(1) + 6(1)^2 +9 -16 + 6 + 9 -1
-1/(2-3x)^2 -1/(2-3x)(2-3x) -1/(2-3)(2-3) 1/(-1)(-1) 1/1 1
(2x-3)(4x-4)- (2x^2-4x+3)(-3) (2-3(1))(4(1)-4) - 2(1)^2-4(1)+3)(3)
-1(0) - (1)(3))/-1^2 3/-1^2 3
3x+b 3(1) = 3 3-4 = -1 3x-4 tangent line
(2x)(2x+3) - (2)(x^2-1) 4x^2+6x - ( 2x^2 - 2) 4x^2 +6x -2x^2 + 2
2x^2 + 6x + 2
(2x+3)^2
g(x)f’(x) - f(x)g’(x)
g((x))^2
g(5)f’(5) - f(5)g’(5)
g(5)^2
-3(1) - 10(8) -3 - 80 -83 / -3^2 -83 / -9
172/(5x+1) * x/1 172x/(5x+1)
(5x+1)(172)-(172x)(5) (5(5)+1)(172)-(172(5)(5)) 11*172 - 172(10) 172
172/(5(5)+1)^2 172/(26)^2 172/676 .25
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