Search over 10,000 free study notes

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 use ...

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^4 = a^(21-4) = a^17

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 true...

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 integration by...