Math

Question 1

Derivative of ln(x)

Answer 1

1/x

Question 2

Derivative of 2^x
And
a^x

Answer 2

2^x * ln(2)
And
a^x * ln(a)

Question 3

Show the relationship btwen Log and exponents

Answer 3

b^x=a // Log_b(a) = x

Question 4

n + (n-1) + (n-2) + (n-3) +…+ 1

Answer 4

n(n+1) / 2

Question 5

Derive a function inside a function:

f(g(x))

Answer 5

[f(g(x))]’ = f’(g(x)) * g’(x)

Question 6

Derive two functions multiplied by eachother

f(x)*g(x)

Answer 6

[f(x)g(x)]’ = f’(x)g(x) + f(x)*g’(x)