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Derivatives Moderate Worksheets - Download free PDFs

Derivatives

Moderate

Trig Functions

1.\:\:\frac{d}{dx}(x\sin(x)+\cos(x))

2.\:\:\frac{d}{dx}(\frac{\tan(x)}{\pi x})

3.\:\:\frac{d}{dx}(\frac{\sin(x)+1}{\cos(x)-1})

4.\:\:\frac{d}{dx}(\pi\cot(x))

5.\:\:\frac{d}{dx}(\tan(x)\sin(x))

6.\:\:\frac{d}{dx}(4\sin(x))

7.\:\:\frac{d}{dx}(\tan(x)-x)

8.\:\:\frac{d}{dx}(\pi\csc(x))

9.\:\:\frac{d}{dx}(\frac{\sin(x)}{2x})

10.\:\:\frac{d}{dx}(\cos(x)\sin(x))

Derivatives

Moderate

Logarithms & Exponents

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

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

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

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

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

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

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

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

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

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

Derivatives

Moderate

Chain Rule

1.\:\:\frac{d}{dx}(\cos(2x))

2.\:\:\frac{d}{dx}(\sqrt{2x^2+5})

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

4.\:\:\frac{d}{dx}(\sin^2(x))

5.\:\:\frac{d}{dx}(e^{x^2})

6.\:\:\frac{d}{dx}(\ln(x^2-5x))

7.\:\:\frac{d}{dx}(\sqrt{2x^2-1})

8.\:\:\frac{d}{dx}((4x-3)^3)

9.\:\:\frac{d}{dx}((2x+6)^2)

10.\:\:\frac{d}{dx}(\tan(2x))