Taylor Polynomial

Let f be a function having derivatives of all orders for all real numbers. The 5th degree Maclaurin polynomial for f is given by P_5\left(x\right)=\frac{1}{2}x^5-2x^4-4x^3-8x^2+10x-2 Find f'(0)

• -2

• 10

• -24

• 60

Let f be a function having derivatives of all orders for all real numbers. The 5th degree Maclaurin polynomial for f is given by P_5\left(x\right)=\frac{1}{2}x^5-2x^4-4x^3-8x^2+10x-2 Find f'''(0)

• -2

• 10

• -24

• 60

Let f be a function having derivatives of all orders for all real numbers. The 5th degree Maclaurin polynomial for f is given by P_5\left(x\right)=\frac{1}{2}x^5-2x^4-4x^3-8x^2+10x-2 Find f^{\left(5\right)}\left(0\right)

• -2

• 10

• -24

• 60

• 0

Find the Maclaurin polynomial for the function f(x)=sin(πx).

How do you find a Taylor polynomial to the nth degree?

• I don't know what any of these answers mean....

How do you find a Maclaurin polynomial to the nth degree?

• I don't know what any of these answers mean....