Free Printable حساب المشتقات

1.

مشتقة الدالة

f\left(x\right)=3x^4

a)

$\frac{\text{d}f}{\text{d}x}=\ 3x^3$

b)

$\frac{\text{d}f}{\text{d}x}=4x^3$

c)

$\frac{\text{d}f}{\text{d}x}=12x^3$

d)

$\frac{\text{d}f}{\text{d}x}=12x^5$

2.

مشتقة الدالة

f\left(x\right)=\sin\left(\frac{3\pi}{2}\right)

a)

$\frac{\text{d}f}{\text{d}x}=\ \frac{3\pi}{2}$

b)

$\frac{\text{d}f}{\text{d}x}=\cos\left(\frac{3\pi}{2}\right)$

c)

$\frac{\text{d}f}{\text{d}x}=1$

d)

$\frac{\text{d}f}{\text{d}x}=0$

3.

مشتقة الدالة

f\left(x\right)=\sqrt{x}

a)

$\frac{\text{d}f}{\text{d}x}=\ x^{-\frac{1}{2}}$

b)

$\frac{\text{d}f}{\text{d}x}=\frac{1}{2\sqrt{x}}$

c)

$\frac{\text{d}f}{\text{d}x}=\sqrt{x}$

d)

$\frac{\text{d}f}{\text{d}x}=\frac{1}{\sqrt{x}}$

4.

مشتقة الدالة

f\left(x\right)=\frac{3}{x^4}

a)

$\frac{\text{d}f}{\text{d}x}=\ -12x^5$

b)

$\frac{\text{d}f}{\text{d}x}=-\frac{12}{x^4}$

c)

$\frac{\text{d}f}{\text{d}x}=\frac{12}{x^5}$

d)

$\frac{\text{d}f}{\text{d}x}=-\frac{12}{x^5}$

5.

مشتقة الدالة

f\left(x\right)=\frac{12x^5}{6x^3}

a)

$\frac{\text{d}f}{\text{d}x}=\ 4x$

b)

$\frac{\text{d}f}{\text{d}x}=4x^2$

c)

$\frac{\text{d}f}{\text{d}x}=2x$

d)

$\frac{\text{d}f}{\text{d}x}=\frac{4}{x^2}$

حساب المشتقات

Total questions: 5

Worksheet time: 3mins

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