Y=1+x+x^2+x^3+...... n terms....differentiate it

Question

Differentiate

Y=1+x+x²+.....n terms

Answer 1

The derivative of a sum is equal to the sum of the derivatives:

 

y = 1 + x + x² + x³ + ... + xⁿ

 

dy/dx = d(1)/dx + d(x)dx + d(x²)/dx + d(x³)/dx + ... + d(xⁿ)/dx

 

Apply the power rule to do each derivative.