# FIND THE DERIVATIVE OF EXPONENTIAL FUNCTIONS WORKSHEET

Find the derivative function:

Problem 1 :

y = xe-2x

Solution

Problem 2 :

y = x³e-x

Solution

Problem 3 :

y = x³ - xe4x

Solution

Problem 4 :

y = (x² - 6) e8x

Solution

Problem 5 :

y = √x ex

Solution

Problem 6 :

y = 4e2x^2

Solution

Problem 7 :

y = xex^2

Solution

Problem 8 :

y = e(e^x)

Solution

Problem 9 :

y = e2x+1 / 2x + 7

Solution

Problem 10 :

y = e3x/x2

Solution

Problem 11 :

y = e√x

Solution

Problem 12 :

y = ex + 1 / ex - 1

Solution

1)  dy/dx = -2xe-2x + e-2x

2)  dy/dx = 3x² e-x - x³ e-x

3)  dy/dx = 3x² - e4x - 4xe4x

4)  dy/dx = 2e8x (4x² + x - 24)

5)  dy/dx = √x ex + ex/2√x

6)  dy/dx = 16xe2x^2

7)  dy/dx = ex^2 + 2x2ex^2

8)  dy/dx = e(e^x) · ex

9)

10) dy/dx = e3x (3x - 2) / x3

11)  dy/dx = e√x / 2√x

12)

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