Power Rule
QUOTIENT RULE
CHAIN RULE
TRIG FUNCTIONS
PRODUCT RULE
100
y = 1/x^5
What is y' = -5/x^6
100
f(x) = x/x2 + 1
What is F'(x) = 1-x^2/(x^2+1)^2
100
f(x) = (3x-2x2)^3
What is f’(x) = 3(3x-2x)^2(3-4x)
100
f(x) = 3sinx-4cosx
What is f’(x) = 3cosx+4sinx
100
g(x) = (x^2+1)(x^2-2x)
What is g’(x) = 4x^3-6x^2+2x-2
200
y = 8x^3
What is y' = 24x^2
200
h(x) = ^3√x/x^3+1
What is h'(x) = 1-8x^3/3x^2/3(x^3+1)^2
200
y = tan(3x)^2
What is dy/dx = 18xsec^2(9x^2)
200
y = x^3tanx
What is y’ = x^2(xsec^2x+3tanx)
200
h(t) = ^3√t(t^2+4)
What is h'(t) = 7t^2+4/3t^2/3
300
y = 28x^4
What is y' = 112x^3
300
g(x) = Sinx/x^2
What is g'(x) = xcosx - 2sinx/x^3
300
g(x) = −7/(2x-3)^-2
What is g’(x) = 28(2x-3)^-3
300
y = cscxcotx
What is y’ = -cscx(csc^2x+cot^2x)
300
f(x) = x^3cosx
What is f’(x) = 3x^2cosx-x^3sinx
400
y = 6x^-5
What is y' = -30x^-6
400
y = x^2/3x-1
What is y' = x(3x-2)/(3x-1)^2
400
f(x) = (3x+1)^2
What is f’(x) = 6(3x+1)
400
y = sin^2x/cos^2x
What is tanx^2
400
f(x) = (6x+5)(x^3-2)
What is f’(x) = 18x^2+15x+6x^3-12
500
y = √2x^7
What is y' = -7√2x^6
500
y = 2/x+1
What is y' = -2/(x+1)^2
500
y = sin(5x)
What is y' = 5cos(5x)
500
f(x) = tan(sinx)
What is f’(x) = sec^2(sinx)cosx
500
f(x) = (x+2)(x^2-x+1)
What is f’(x) = 2x^2+2x-1
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