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# Best Shortcuts of Derivatives

**scienceLover10**

### The Top Ten

*1*

**d/dx(a*x^b) = (b*a)*(x^(b-1))**

What is this? I don't even

You'll learn about this if you take calculus, it's actually a lot simpler than it looks. - **scienceLover10**

*2*

**d/dx(f(g(x))) = f'(g(x)) * g'(x)**

*3*

**d/dx(a*b^x) = (ln(b)*a) * (b^x)**

*4*

**d/dx(f(x)*g(x)) = f'(x)*g(x) + g'(x)*f(x))**

*5*

**d/dx(f(x)+g(x)) = f'(x) + g'(x)**

*6*

**d/dx(f(x)/g(x)) = ((f'(x)*g(x)) - (g'(x)*f(x))) / g(x)^2**

*7*

**d/dx(a*f(x)) = a * f'(x)**

*8*

**d/dx(tan(x)) = sec^2(x)**

*9*

**d/dx(sin(x)) = cos(x)**

*10*

**d/dx(cos(x)) = -sin(x)**

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#### Top Remixes

**1. d/dx(a*x^b) = (b*a)*(x^(b-1))**

2. d/dx(f(g(x))) = f'(g(x)) * g'(x)

3. d/dx(a*b^x) = (ln(b)*a) * (b^x)

scienceLover10

2. d/dx(f(g(x))) = f'(g(x)) * g'(x)

3. d/dx(a*b^x) = (ln(b)*a) * (b^x)

scienceLover10

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