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Find the tangent for the line y=x^3+3x^2+4x+2 at x=2

Firstly, differentiate the equation y=x 3 +3x 2 +4x+2 to find the gradient function. The gradient function is dy/dx and is found to be 3x 2 +6x+4 = f'(x) after differentiation. The simple rule is to multiply...
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Answered by Wafi C. • Maths tutor
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I don't understand the point of differentiation or integration

If thinking about graphs, differentiation is the gradient, and integration is the area between the line and the axis. These operations are useful if we know values that are related through them, for example ...
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Answered by Guido B. • Maths tutor
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Describe the main ways in which social control occurs in society.

Social control refers to the methods used throughout society to limit deviance (breaking of social norms) and ensure that people conform to society’s rules and regulations. There are two main types of social...
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Answered by Holly T. • Sociology tutor
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Solve the inequality x(x+2)>8 for x.

x(x+2)>8 if and only if x^2+2x-8>0 if and only if (x+4)(x-2)>0. There are three cases: x<-4, -4 In the first case x+4<0 and x-2<0, so their product is positive: (x+4)(x-2)>0. Next x+4&gt...
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Answered by Joshua T. • Maths tutor
4865 Views

How is DNA made into protein?

DNA is first transcribed into a messenger RNA molecule called mRNA, RNA is similar to DNA but contains Uracil instead of Thymine. RNA polymerase recruits nucleotides to build the mRNA molecule and binds them...
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Answered by Sophie M. • Biology tutor
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