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Moderate Logarithms & Exponents Worksheets

Derivatives

Moderate

Logarithms & Exponents

1. \frac{d}{dx}(5e^{x})

1. \frac{d}{dx}(5e^{x})

2. \frac{d}{dx}(2\log_3(x))

2. \frac{d}{dx}(2\log_3(x))

3. \frac{d}{dx}(e^{x}\ln(x))

3. \frac{d}{dx}(e^{x}\ln(x))

4. \frac{d}{dx}(e^{x}+x^{e})

4. \frac{d}{dx}(e^{x}+x^{e})

5. \frac{d}{dx}(\ln(x)\ln(5))

5. \frac{d}{dx}(\ln(x)\ln(5))

6. \frac{d}{dx}(\frac{1}{2}e^{x})

6. \frac{d}{dx}(\frac{1}{2}e^{x})

7. \frac{d}{dx}(\frac{e^{x}}{x})

7. \frac{d}{dx}(\frac{e^{x}}{x})

8. \frac{d}{dx}(x\ln(x))

8. \frac{d}{dx}(x\ln(x))

9. \frac{d}{dx}(\log_4(x))

9. \frac{d}{dx}(\log_4(x))

10. \frac{d}{dx}(\ln(x)e^{x})

10. \frac{d}{dx}(\ln(x)e^{x})

Answers

Derivatives

Moderate

Logarithms & Exponents

1. 5e^{x}

2. \frac{2}{\ln(3)x}

3. e^{x}\ln(x)+\frac{e^{x}}{x}

4. e^{x}+ex^{e-1}

5. \frac{\ln(5)}{x}

6. \frac{1}{2}e^{x}

7. \frac{e^{x}x-e^{x}}{x^{2}}

8. \ln(x)+1

9. \frac{1}{2\ln(2)x}

10. \frac{e^{x}}{x}+e^{x}\ln(x)