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how do you differentiate tan(x)

The differential of tan(x) is sec 2 (x), however knowing how dy/dx tan(x)=sec 2 (x) is very useful in differentiating other trigonometric functions. So, if we first employ the rule that tan(x)=sin(x)/cos(x),...
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Answered by Olukorede S. Maths tutor
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What is depreciation? Why is its calculation necessary? Give an example of straight line depreciation.

Depreciation is a periodic year end accounting adjustment (not an actual cash change), which represents the physical wearing out of Non-Current Assets ( NCAs) such as vehicles and buildings. If firms did not...
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Answered by Louis H. Accounting tutor
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Solve the simultaneous equation: y+4x+1=0 y^2+5x^2+2x=0

Rearrange the first equation to get y on its own: y=-(1+4x) Substitute into the second equation: (1+4x)(1+4x)+5x^2+2x=0 21x^2+10x+1=0 Substite into the quadratic formula to solve (-b+/-(b^2-4ac)^0.5)/2a
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Answered by George L. Maths tutor
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a) Simplify 2ln(2x+1) - 10 = 0 b) Simplify 3^(x)*e^(4x) = e^(7)

a) To answer this question, one must be familiar with laws of logs, more sprecifically the rules when applied to the natural log of x, and exponentials (e). 2ln(2x+1) - 10 = 0 Step 1) 2ln(2x+1) = 10 Step 2) ...
JB
Answered by Jordan B. Maths tutor
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Find the intersection points between the graphs y=2x+5 and y=x^2-9.

To do this, first draw a sketch of both graphs to see roughly what kind of result we should expect to get. We know that at the intersection points, the values of x and y for both graphs must be equal. so set...
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Answered by Srinivass B. Maths tutor
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