Differentiation

Question 1

a straight line has a … gradient

Answer 1

constant

Question 2

when line goes horizontal or vertical the gradient is

Answer 2

zero

Question 3

straight line graph equation for gradient

Answer 3

y= mx + c

Question 4

curve line equation for gradient

Answer 4

dy/dx + nx (power of n-1)

Question 5

differentiate: 2x (pw5)

Answer 5

10x(pw4)

Question 6

differentiate: x(sq) + x(cb)

Answer 6

2x + 3x(sq)

Question 7

differentiate: 4

Answer 7

0

Question 8

differentiate: -3

Answer 8

0

Question 9

differentiate: 2x

Answer 9

2

Question 10

x(pw-2)

Answer 10

-2x(pw-3)

Question 11

1/x(pw3)

Answer 11

-3x(pw-4)

Question 12

how to find the gradient of a point in a curve

Answer 12

differentiate, then substitute the point into the formula, if the question comes in coordinate form, always use the x number

Question 13

how to find points in a curve from the gradient

Answer 13

differentiate the formula given, collect terms, minus the gradient from one side so the formula equals zero, then factorise, you get two answers

Question 14

at a turning point of a curve, the gradient is

Answer 14

zero

Question 15

minimum point is shaped like a

Answer 15

U

Question 16

maximum point is shaped like a

Answer 16

n

Question 17

how to find the coordinates of a turning point

Answer 17

differentiate, then make the differentiated answer equal zero, these two answers will be your x value, use both these values to substitute into the original formula to find the two values for y, draw a rough sketch to estimate the min/max point/s