Introduction : In this we shall prove that the derivative of cos(x) is -sin(x) using the formal definition of derivative. Question : prove that derivative of cos(x) is -sin(x) Solution…
Introduction :In this solution, we explain how to find derivative of a power series. Question: Find derivative of a power series \[P^\prime\left(x\right)=1-2\frac{\left(x+2\right)}{6}+\frac{3\left(x+2\right)^2}{27}-\frac{4\left(x+2\right)^3}{108}+\ldots\ldots\] Solution : We have given power series expansion…