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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
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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
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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 negative...
PT
Answered by Piotr T. • Chemistry tutor
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What is the difference between structural isomers and stereoisomers?

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 functional group or...
PS
Answered by Parul S. • Chemistry tutor
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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 d 2 y/dx 2 =-4x -3 -1/4 b) Let dy/dx=0 and rearrange to find x=2 c) Inserting x=2 into d 2 y/dx 2 =-4x -3 -1/4 will show that d 2 y/dx 2 is smaller than zero so this is a maximum sta...
KM
Answered by Katie M. • Maths tutor
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