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Differentiate 2x^3+23x^2+3x+5 and find the values of x for which the function f(x) is at either at a maximum or minimum point. (Don't need to specify which is which)

f(x)=2x 3 +23x 2 +3x+5 f'(x)=6x 2 +46x+3 Maximum or minimum when f'(x)=0 6x 2 +46x+3=0 Using the Quadratic Formula: x=(-b+-squareroot(b 2 -4ac))/2a x 1 =-0.0658 x 2 =-7.6
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Answered by Sanjana K. • Maths tutor
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Find f(x^(1/2)+4)dx (Where f is the integral sign)

The general form for an integrand if the integral is of the form f(x^n)dx is (1/(n+1)) * x^(n+1) +c This is applied to each term in the question, remembering the constant in the integrand: So: f(6x+x^(1/2)+4...
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Answered by Michael A. • Maths tutor
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What is the Price Elasticity of Demand?

Price Elasticity of Demand (PED) measures the responsiveness of the quantity consumers demand in relation to price changes. In simple terms, when the price increases, demand for the product decreases. The PE...
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Answered by Emanuel V. • Economics tutor
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A curve has the equation y = 4x^3 . Differentiate with respect to y.

y = 4x 3 To differentiate you must find dy/dx. To calculate dy/dx, look at this example using just letters from algebra: y = ax b dy/dx = (ab)x (b-1) As you can see, to calculate dy/dx you must multiply the ...
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Answered by Samuel H. • Maths tutor
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A student may ask me how to structure an answer to an exam question

An exemplar question is 'evaluate the strengths and weaknesses of the FPTP system'. I would prompt them to answer the question by defining the key words and giving a brief introduction. In this case it is th...
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