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How do I prove that the differential of coshx is equal to sinhx?

Before this proof, it is important to appreciate that both of these hyperbolic functions can be written in terms of e^x. Therefore, before you begin to differentiate, you must represent coshx as (e^x + e^-x)...
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3. The point P lies on the curve with equation y=ln(x/3) The x-coordinate of P is 3. Find an equation of the normal to the curve at the point P in the form y = ax + b, where a and b are constants.

P- (3,0) y=ln(x/3) u=x/3 y=ln(u) ​​​​​​ du = 1/3 dy = 1/u = 3 dx du dy = du x dy dx dx du = 1/3 x 3 = 1 gradient at normal = -1 equation at normal = y = m(x) + c 0 = -3 + c 3 = c Answer: equation at normal =...
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Answered by Kaushalya B. • Maths tutor
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In a sale a bag is reduced by 30%. The bag is now £31.50. Work out the original price of the bag.

£45.00
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Answered by Safiya C. • Maths tutor
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Solve this simultaneous equation: (1) 2x+3y=12 (2) x+4y=11

x=3,y=2
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Answered by Safiya C. • Maths tutor
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Explain the use of Imperfekt and Perfekt, and give one example each.

The German tense of Imperfekt is used when describing situations that occured in the and which have no influence on the present. It is also used when talking about states and feelings in the past. Additional...
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Answered by Jeanette S. • German tutor
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