Free Printable Derivando funciones con Regla de Cadena

1.

$f'(x)=\left(e^x\right)'$

a)

$f'(x)=e^x$

b)

$f'(x)=e^x\log e$

c)

$f'\left(x\right)=xe^{x-1}$

2.

$\frac{\text{d}}{\text{d}x}\left[e^{6x}\right]$

a)

$e^{6x}$

b)

$e^6$

c)

$6\cdot e^{6x}$

3.

$\frac{\text{d}}{\text{d}x}\left[e^{5x}\right]$

a)

$e^{5x}$

b)

$5x\cdot e^{5x-1}$

c)

$5\cdot e^{5x}$

4.

$\frac{\text{d}}{\text{d}x}\left[e^{-6x}\right]$

a)

$6e^{-6x}$

b)

$-6e^x$

c)

$-6\cdot e^{-6x}$

5.

$\left(\sin x\right)'=$

a)

$\cos\left(x\right)$

b)

$\sin\left(x\right)$

6.

$\frac{\text{d}}{\text{d}x}\left[\sin\left(7x\right)\right]$

a)

$\cos\left(7x\right)$

b)

$7\cos\left(x\right)$

c)

$7\cdot\cos\left(7x\right)$

7.

$\left(\cos x\right)'=$

a)

$-\cos\left(x\right)$

b)

$-\sin\left(x\right)$

8.

$\left(\cos\left(x^3\right)\right)'$

a)

$-sen\left(3x^2\right)$

b)

$-3x^2\cdot sen\left(x^3\right)$

c)

$3x^2\cdot sen\left(x^3\right)$

9.

$f'(x)=\left(5^x\right)'$

a)

$f'(x)=5^x$

b)

$f'(x)=5^x\ln5$

10.

$f'(x)=\left(3^x\right)'$

a)

$f'(x)=3^x$

b)

$f'(x)=3^x\ln3$

c)

$x\cdot3^{x-1}$

11.

$\frac{\text{d}}{\text{d}x}\left[2^{5x}\right]$

a)

$2^{5x}\cdot\ln\left(2\right)$

b)

$5x\cdot2^{5x-1}$

c)

$5\cdot2^{5x}\ln\left(2\right)$

d)

$2^5\ln\left(x\right)$

12.

$\frac{\text{d}}{\text{d}x}\left[3^{-7x}\right]$

a)

$3^{-7x}\cdot\ln\left(3\right)$

b)

$-7x\cdot3^{-7x-1}$

c)

$-7\cdot3^{-7x}\ln\left(3\right)$

d)

$3^{-7}\ln\left(x\right)$

13.

$y\ =\ln\left(x\right)$

a)

$\frac{1}{\ln\left(x\right)}$

b)

$\frac{1}{x}$

14.

$y\ =\log_2\ x$

a)

$\frac{1}{x\ln2}$

b)

$\frac{1}{x}$

15.

$y\ =\log_3\ x$

a)

$\frac{1}{x\ln3}$

b)

$\frac{1}{x}$

16.

$\frac{\text{d}}{\text{d}x}\left[\ln\left(-5x\right)\right]$

a)

$\frac{1}{-5x}$

b)

$\frac{1}{-5}$

c)

$\frac{1}{-5x}\cdot\left(-5\right)$

d)

$\frac{1}{\ln\left(-5x\right)}\cdot\left(-5\right)$

17.

$\frac{\text{d}}{\text{d}x}\left[\ln\left(-5x+1\right)\right]$

a)

$\frac{1}{-5x+1}$

b)

$\frac{1}{-5}$

c)

$\frac{1}{-5x+1}\cdot\left(-5\right)$

d)

$\frac{1}{\ln\left(-5x+1\right)}\cdot\left(-5\right)$

18.

$\frac{\text{d}}{\text{d}x}\left[\ln\left(-5x^2+1\right)\right]$

a)

$\frac{1}{-5x^2+1}$

b)

$\frac{1}{-10x}$

c)

$\frac{1}{-5x^2+1}\cdot\left(-5\right)$

d)

$\frac{1}{\ln\left(-5x^2+1\right)}\cdot\left(-10x\right)$

19.

$\frac{\text{d}}{\text{d}x}\left[x^7\right]=$

a)

$7x$

b)

$7x^6$

c)

$x^6$

20.

$\frac{\text{d}}{\text{d}x}\left[x^6\right]=$

a)

$6x$

b)

$6x^5$

c)

$x^5$

21.

$\frac{\text{d}}{\text{d}x}\left[x^{-7}\right]=$

a)

$-7x^{-6}$

b)

$-7x^{-8}$

22.

$\frac{\text{d}}{\text{d}x}\left[x^{-8}\right]=$

a)

$-8x^{-7}$

b)

$-8x^{-9}$

23.

$\frac{\text{d}}{\text{d}x}\left[\left(7x+1\right)^6\right]=$

a)

$6\left(7\right)^5$

b)

$6\left(7x+1\right)^5$

c)

$42\left(7x+1\right)^5$

24.

$\frac{\text{d}}{\text{d}x}\left[\left(6x+1\right)^7\right]=$

a)

$6\left(7\right)^5$

b)

$7\left(6x+1\right)^6$

c)

$42\left(6x+1\right)^6$

25.

$\frac{\text{d}}{\text{d}x}\left[\left(-5x+2\right)^9\right]=$

a)

$9\left(-5\right)^8$

b)

$9\left(-5x+2\right)^8$

c)

$-45\left(-5x+2\right)^8$

26.

$\frac{\text{d}}{\text{d}x}\left[\left(4x^3+7x\right)^5\right]=$

a)

$5\left(12x^2+7\right)^4$

b)

$5\left(4x^3+7x\right)^4\left(12x^3+7\right)$

c)

$5\left(4x^3+7x\right)^4$

27.

Halla la derivada de función $y=\sqrt{x}$

a)

$y'=\frac{\sqrt{x}}{2}$

b)

$y'=\frac{2}{\sqrt{x}}$

c)

$y'=\frac{1}{2\sqrt{x}}$

d)

$y'=x^{\frac{1}{2}}$

28.

Halla la derivada de función $y=\sqrt{x-1}$

a)

$y'=\frac{\sqrt{x-1}}{2}$

b)

$y'=\frac{2}{\sqrt{x-1}}$

c)

$y'=\frac{1}{2\sqrt{x-1}}$

d)

$y'=\left(x-1\right)^{\frac{1}{2}}$

29.

Halla la derivada de función $y=\sqrt{1-x}$

a)

$y'=\frac{\sqrt{1-x}}{2}$

b)

$y'=\frac{2}{\sqrt{1-x}}$

c)

$y'=-\frac{1}{2\sqrt{1-x}}$

d)

$y'=\frac{1}{2\sqrt{1-x}}$

Derivando funciones con Regla de Cadena

Total questions: 29

Worksheet time: 8mins

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