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Calculate the gradient of the function y=x^2+6x when y=-9

-9=x^2+6x

0=x^2+6x+9

0=(x+3)(x+3)

when y=-9 x=3

dy/dx=2x+6

dy/dx=2(3)+6=12

HM
Answered by Hassan M. Maths tutor
5375 Views

What are the characteristics of a person suffering from Learned Helplessness?

  • Not attempting tasks perceived as more difficult

  • Low self-esteem

  • Believe that their participation in the task will have little/no effect (so what's the point?...

AH
2217 Views

In what conditions does sodium chloride conduct electricity and why?

Electricity can be defined as a flow or motion of electric charge. If a substance can allow such flow it is said to conduct electricity. Sodium chloride is made of positively charged sodium ions and negat...

PT
Answered by Piotr T. Chemistry tutor
50575 Views

What is the difference between structural isomers and stereoisomers?

  1. Structural isomers are compounds which have the the same molecular formula but the atoms are arranged in a different order. This can be due to a change in the carbon skeleton, the type of functi...

PS
Answered by Parul S. Chemistry tutor
8017 Views

For a curve of gradient dy/dx = (2/(x^2))-x/4, determine a) d^2y/dx^2 b) the stationary point where y=5/2 c) whether this is a maximum or minmum point and d) the equation of the curve

a) Differentiating gives d2y/dx2=-4x-3-1/4

b) Let dy/dx=0 and rearrange to find x=2

c) Inserting x=2 into d2y/dx2=-4x-3-1/4 ...

KM
Answered by Katie M. Maths tutor
5989 Views

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