C-H-A-I-N
InTRIGants
GRADIENT @ -1
Antiderivatives
Under the Curve
100

The derivative of
f(x) =  1/3cos(3x^2)  

-2x/sin(3x^2)

100

The derivative of
f(t) =  tan(3t^2) 

6tsec^2(3x^2)

100

At x = -1, what is the gradient of the tangent line to f(x) =   3x  

3

100

 int(4x-11)dx 

2x^2-11x+c

100

 int_2^4 2dx 

4

200

The derivative of
f(x) =   (7x+sqrtx)^8 

8(7x+sqrtx)^7(7+1/(2sqrtx))

200

The antiderivative of
f(t) =  tan(t)sec(t)dt 

sec(t) + c

200

At x = -1, what is the gradient of the tangent line to f(x) =  12 - 6x^3 

-18

200

 int5dx/x 

5lnx+c

200

 int_1^2 xdx 

3/2

300

The derivative of  
f(x) =  19^(x^3+3)  

3x^2ln(19)19^(x^3+3)

300

Fill in the blank
 d/dt(sec^2(t^2)) = 4tsec(t^2) *_*_*_* tan(t^2) 

sec(t^2)

300

At x = -1, what is the gradient of the tangent line to f(x) =  e^(x^2) 

-2e

300

 int44xcos(x^2) dx 

22sin(x^2)+c

300

 int_3^6 (2x-1)dx 

24

400

The derivative of
f(x) =  ln (sqrt(6x-x^10)) 

 (3-5x^9)/(6x-x^10) 

400

The derivative of
f(t) =  sin^2(100t) 

200sin(100t)cos(100t)

400

At x = -1, what is the gradient of the tangent line to f(x) =  5^x  

ln(5)/5

400

 int5xe^(5x^2) dx 

1/2e^(5x^2)+c

400

 int_0^(pi/2) 3sinxdx 

-3

500

The derivative of
f(x) =  sin(cosx^3) 

-3x^2sin(x^3)cos(cos(x^3))

500

 int_0^(pi/2)(sinx+cosx)dx   

2

500

At x = -1, what is the gradient of the tangent line to f(x) =  74(x^3/3+x)^2  

0

500

 intsqrt(x^2-2x+1)dx 

 

 x^2/2-x+ c

 

500

 int_0^1 e^xdx 

e- 1

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