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Power Rule
Product Rule
Quotient Rule
Chain Rule
Integrals
100
The derivative of 4x
2
+x.
What is 8x+1?
100
The derivative of y=(x+2)(x-2).
What is 2x?
100
The derivative of (x+2)/x.
What is 2/x
2
?
100
The derivative of (x+1)
2
What is 2x+2
100
The integral of x
2
What is (1/3)x
3
200
The derivative of -3.14x
55
-10x.
What is -172.7x
54
-10?
200
The derivative of y=(x
2
+4x+2)(x+2).
What is 3x
2
+12x+10?
200
The derivative of (5x
2
+3x)/(x+2).
What is (5x
2
+20x+6)/(x
2
+4x+4)?
200
The derivative of (x
2
+3x)
2
What is 2(x
2
+3x)(2x+3)
200
The integral of 4x
3
+8x+2
What is x
4
+4x
2
+2x
300
The derivative of 21x
17
+8x
4
+7x
3
+2x.
What is 357x
16
+32x
3
+21x
2
+2?
300
The derivative of y=(x
-2
)(4x
2
+7x+2).
What is (7x+4)(-x
-3
)?
300
The derivative of (4sqrt(x))/(x
2
-2).
What is (-6
3/2
-4x
-1/2
)/(x
4
-4x
2
+4)?
300
The derivative of sin2x
What is 2cos(2x)
300
The integral of -sin x
What is cos x
400
The derivative of 609.33x
47
-88.88
46
-94.84
44
+6x
12
+6.
What is 28638.51x
46
-4088.48
45
-4172.96x
43
+72x
11
?
400
The derivative of y=(x
1/2
)(tan x).
What is 2x
-1/2
tan x + x
1/2
sec
2
x?
400
The derivative of -(2sin x)/(3x
2
-5).
What is (6x
2
cos x-10cos x-12xsin x)/(9x
4
-30x
2
+25)?
400
The derivative of 4(log
2
(2x))
2
What is (8log(2x))/(x)
400
The integral of cos(2x)
What is (sin x)(cos x)
500
The derivative of -3.98765x
40
-22
-11
+8.189
-28
.
What is -159.506x
39
+242
-12
-229.292x
-29
?
500
The derivative of y=(sec x tan x)(x
3
).
What is (x
2
sec x)(3tan x + xsec
2
x + xtan
2
x)?
500
The derivative of (x
2
)/(1+sqrt(x)).
What is (x(4+3sqrt(x)))/(2(1+sqrt(x))
2
)
500
The derivative of (sin2x)(4x
2
)
What is 8x(sin(2x)+xcos(2x))
500
The integral of 2(tan(x) + x sec
2
(x))
What is tan(x)(2x)