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Differentiate y = (3x^3+2x+7)/x^(1/2)

y = (3x^3+2x+7)/x^(1/2) = 3x^(5/2)+2x^(1/2)+7x^(-1/2)dy/dx = 15/2x^(3/2)+x^(-1/2)-3.5x^(-3/2)
JW
Answered by Joshua W. • Maths tutor
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Given the function y = x^5 + x^3/2 + x + 7 Express the following in their simplest forms: i) dy/dx ii) ∫ y dx

i) 5x^4 + 3/2x^1/2 + 1ii) 1/6x^6 + 2/5x^5/2 + 1/2x^2 + 7x + c
LB
Answered by Liam B. • Maths tutor
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Explain Optical Isomerism

Optical Isomerism is a type of stereoisomer. The molecule has a chiral centre which is where the are four different atoms attached to the central atom. This means that they become mirror images of each other...
Answered by • Chemistry tutor
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Select two works of art, each by a different artist, and comment on how each artist has responded to the time in which they lived.

Both Cecil Collins (1908-1989) and Julian Trevelyan (1910-1988) and their respective works The Quest (1938) and Rubbish May be Shot Here (1937) respond directly to the period in which they are situated. The ...
GS
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For what values of x is Cosh^2(x) - Sinh(x) = 5 Give your answer in the form of a logarithm

Substitute Cosh^2(x) = 1 + Sinh^2(x) into the starting equation (This formula should be known)Make 0 the subject 3Sinh^2(x) - Sinh(x) - 2 = 0Substitute u = Sinh(x) and solve for uSubstitute Sinh(x) back in f...
LB
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