\(f'(x)=2⋅3⋅x^2\text{.}\)

\(f'(x)=6x^2\text{.}\)

\(f'(x)=8⋅9⋅x^8+4⋅3⋅x^2-4⋅2⋅x^1-9\text{.}\)

\(f'(x)=72x^8+12x^2-8x-9\text{.}\)

\(f'(a)=1\frac{1}{3}⋅8⋅a^7+9⋅5⋅a^4\text{.}\)

\(f'(a)=10\frac{2}{3}a^7+45a^4\text{.}\)

(Haakjes wegwerken)
\(f(p)=(7p^5-3)(p-8)=7p^6-56p^5-3p+24\)

(Differentiëren)
\(f'(p)=42p^5-280p^4-3\text{.}\)

(Haakjes wegwerken)
\(f(a)=(5a^4+2)^2=25a^8+20a^4+4\)

(Differentiëren)
\(f'(a)=200a^7+80a^3\text{.}\)

(Productregel)
\(f'(a)=-3(9a^2-7a)+(-3a-8)(18a-7)\text{.}\)

(Productregel)
\(f'(p)=(2p-7)(3p^2-6p-2)+(p^2-7p)(6p-6)\text{.}\)

(Quotiëntregel)
\(f'(x)={(4x-5)⋅-6-(-6x+2)⋅4 \over (4x-5)^2}\text{.}\)

\(f'(x)={(-24x+30)-(-24x+8) \over (4x-5)^2}={22 \over (4x-5)^2}\text{.}\)

(Quotiëntregel)
\(f'(a)={(-2a-9)⋅-2a--a^2⋅-2 \over (-2a-9)^2}\text{.}\)

\(f'(a)={(4a^2+18a)-2a^2 \over (-2a-9)^2}={2a^2+18a \over (-2a-9)^2}\text{.}\)