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Differentiation is a branch of calculus mathematics used to determine the rate of change between certain variables. For example if an object changes its distance x over a certain time interval t, we can u...

When each term has the same base, add the indices that are multiplied. Then subtract the indices that are divided.

a^5 x a^16 / a^ 4 = a^(5+16) / a^4 

                            = a^ 21 / a...

maths

for n=1 2^1=2  2>1 hence true for n=1 assume true for n then 2^n >n we need to show 2^n+1 > n+1 since 2^n >n 2^n+1 >2n =n+n >n+1 for n>1 hence by induction since true for n= 1 and if ...

To integrate this function integration by parts is used where u = lnx and v = 1. The process of integration by parts is then carried out with the final answer being xlnx -x +c. 

The formula for int...