Tolong dong kak no. 10 nya kak.. Dengan rumus dan caranya ya kak... #trimakasih#

Jika f(x) = axⁿ
Maka :
f'(x)
= n . ax^(n-1)

Maka :
y = 3x³ + 3/4 x² + 2x^(1/2) + 25 (x^0)
y'
= 3 . 3x² + 2 . 3/4 x¹ + 1/2 . 2 x^(1/2 - 1) + 0 . 25 x^(-1)

= 9x² + 6/4 x + x^(-1/2)

A.

[tex]\displaystyle y=3x^3+\frac34x^2+2x^\frac12+25\\\\y'=3\cdot3x^{3-1}+\frac34\cdot2x^{2-1}+2\cdot\frac12x^{\frac12-1}+25\cdot0x^{0-1}\\y'=9x^{2}+\frac32x^{1}+x^{-\frac12}+0x^{-1}\\\boxed{\boxed{y'=9x^{2}+\frac64x+x^{-\frac12}}}[/tex]