Derivatives and Integrals Flashcards | StudBud

Derivatives and Integrals

20 termsStudBud Administration15 plays

A #math quiz exploring #calculus #derivatives and #Integrals

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Questions 20

Answers

1
Find the derivative of: y=x⁰
y=0
y=1
y1=0
y1=1
2
Find the Integral of: f(x)=1/(x√x)
∫f(x)=-2/√x
∫f(x)=-2/√x+C
∫f(x)=2/√x+C
f(x)=2/x+C
3
Find the derivative of: y=(x²/3)-(3/x²)
y1=(1/3)x2-3x-2
y1=-(2/3)x-6x-3
y1=(2/3)x+6/x3
y=(2/3)x+6/x3
4
Find the derivative of: y=ln(x³-4e^x)
y=(3x2-4ex)/(x3-4ex)
y1=(3x2-4ex)/(x3-4ex)
y=1/(3x2-4ex)-3x2-4ex
y1=1/(3x2-4ex)-3x2-4ex
5
Find the derivative of: y=(1/7x)
y=(-1/7x2)
y=7x-1
y1=-7x-2
y1=(-1/7x2)
6
Find the derivative of: f(x)=(√x)-(1/√x)
f1(x)=(1/2)x-1/2+1/2x-3/2
f1(x)=(1/2√x)+(1/2x3/2)
f(x)=x1/2-x-1/2
f1(x)=(√x)-(1/√x)
7
Find the Integral of: f(x)=7sinx
∫f(x)=7tanx
∫f(x)=-7sinx
∫f(x)=-7cosx+C
∫f(x)=7cosx+C
8
Find the Integral of: f(x)=4sin(x/3)
f(x)=-3cos(x/4)
∫f(x)=-4cos(x/3)+C
∫f(x)=-12cos(x/3)+C
∫f(x)=12sin(x/3)+C
9
Find the derivative of: y=(x/lnx)
y=(lnx-1-x1/x)/(lnx)2
y1=(lnx-1-x1/x)/(lnx)2
y1=(lnx-1)/(lnx)2
y=(lnx-1)/(lnx)2
10
Find the Integral of : f(x)=6x³+3x²+7x+2
f(x)=(3/2)x4+x3+(7/2)x2+2x+C
∫f(x)=(7/2)x4+x3+(3/2)x2+2x+C
∫f(x)=(3/2)x4+x3+(7/2)x2+2x+C
∫f(x)=(3/2)x4+x3+(7/2)x2+2x
11
Find the Integral of: f(x)=7cos5x
∫f(x)=[(5sin7x)/7]+C
∫f(x)=[(7sin5x)/5]+C
∫f(x)=[(14cos5x)/10]
f(x)=(7sin5x)/5
12
Find the derivative of: y=4x³-2x²+8x-π
y=4x3-4x+8
y=12x2-4x+8
y1=12x2-4x+8
y1=4x3-4x2+8x+π
13
Find the derivative of: y=(e^x)/x
y1=(ex)/x
y1=(ex)(x-2)+(x-1)(ex)
y=(ex)x-1
y1=-(ex/x2)+(ex/x)
14
Find the derivative of: f(x)=(3x-2)(2x+1)
f1(x)=12x-1
f(x)=12x-1
f(x)=6x2-x-2
f1(x)=6x2-x-2
15
Find the Integral of: f(x)=9sin3x
f(x)=-3cos3x
∫f(x)=-9sin9x+C
∫f(x)=-3cos3x+C
∫f(x)=9cos3x+C
16
Find the Integral of: f(x)=x³+2x⁵+3x¹⁰
∫f(x)=(3/11)x11+(1/3)x6+(1/4)x4+C
(3/11)x11+(1/3)x6+(1/4)x4
∫f(x)=(3/11)x11+(1/3)x6+(1/4)x4
f(x)=(3/11)x11+(1/3)x6+(1/4)x4+C
17
Find the derivative of: y=xlnx
y1=1+lnx
y=1-lnx
y=1+lnx
y1=1-lnx
18
Find the Integral of: f(x)=(x-1)/(2x-1)
∫f(x)=(1/2)x+C
∫f(x)=(1/2)x
f(x)=2(x-1)
∫f(x)=2(x-1)+C
19
Find the definite Integral of: ∫₁⁴5x²-8x+5
∫f(x)=10x+C
40
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30
20
Find the Integral of: (x²+4)/x²
∫f(x)=x+(4/x)-C
f(x)=x-(4/x)+C
f(x)=-x-(4/x)
∫f(x)=x-(4/x)+C