Free Printable M.6/2+6/3..Midterm 2/2566

1.

$\frac{\text{d}}{\text{d}x}\left(x^2+3x-5\right)=?$

a)

2x

b)

2x+3

c)

$x^2+3$

d)

2

2.

กำหนดให้ $f\left(x\right)=5x^2+3x-1$ แล้ว $f'\left(2\right)$ มีค่าเท่าใด

(a)

3.

$\frac{d}{dx}\left(\sqrt[]{x+1}\right)=?$

a)

$2\sqrt[]{x+1}$

b)

$\frac{1}{\sqrt[]{x+1}}$

c)

$\frac{1}{2}\left(\frac{1}{\sqrt[]{x+1}}\right)$

d)

$\frac{1}{2\sqrt[]{\left(x+1\right)^3}}$

4.

กำหนดให้ $f\left(x\right)=2x^3+1$ แล้ว $f'\left(2\right)=?$

(a)

5.

$\frac{d}{dx}\left(x^6+x^3-x^2+4\right)=?$

a)

$6x^5+3x^2-2x$

b)

$x^5+3x^2-2$

c)

$6x^5+3x^{ }-2$

d)

$6x^5+x^2-2x$

6.

If $f\left(x\right)=8x^3-2x^2+5x-7$ then $f'\left(1\right)=?$

(a)

7.

$\frac{d}{dx}\left[\left(x^2-2x+3\right)\left(2x+5\right)\right]=?$

a)

$4x^2+6x-4$

b)

$6x^2+2x-4$

c)

$2x^2-4x$

d)

$x^2+2x-4$

8.

$ถ้า\ \ f\left(x\right)=\frac{2x-1}{2x+1}\ แล้ว\ \ f'\left(-1\right)=?$

(a)

9.

กำหนดให้ $y=\left(2-3x+4x^2\right)^3$ แล้ว $\frac{dy}{dx}$ คือข้อใด

a)

$24x-9$

b)

$48x^2+30x-9$

c)

$\left(2-3x+4x^2\right)^2$

d)

$\left(24x-9\right)\left(2-3x+4x^2\right)^2$

10.

กำหนดให้ $f\left(x\right)=x^2+2$ แล้ว จงหา $f''\left(x\right)$

(a)

11.

If $f\left(x\right)=5x^4+2x^3-x+2$ then $f^4\left(-1\right)=?$

(a)

12.

กำหนดให้ $y=x^{-5}+x^5$ แล้ว $\frac{d^3y}{dx^3}$ คือข้อใด

a)

$60x^2-\frac{210}{x^8}$

b)

$20x^3-30x^{-7}$

c)

$\frac{-5}{x^6}-5x^4$

d)

$210x^8+60x^{-2}$

M.6/2+6/3..Midterm 2/2566

Total questions: 12

Worksheet time: 2hrs 25mins

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