If a function f(x) is differentiated, we obtain its derivative, known as f'(x). If this first derivative is further differentiated, we obtain its second derivative, f"(x), and if the second derivative is differentiated, we obtain f'''(x). Thus, the nth derivative of x is equal to the derivative of f(n-1)(x). In calculus, derivatives are an important topic. In almost all math classes beyond calculus, derivatives continue to be extremely important. Be sure to get a strong foundation in derivatives, and ask your professor if you have any questions about them.
Instructions
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1
Find the first derivative of the function. For instance, if your function is of the form f(x) =a(x^n)+bx+c, then your derivative will be equal to f'(x)=na*(x)^(n-1)+b. Thus, f(x)=6x2+2x, derived, becomes f'(x)=12x+2.
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2
Find the second derivative. In other words, differentiate f'(x). You will get 12 for your answer.
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3
Find all subsequent derivatives, up to the nth derivative. Here, taking the third derivative, or differentiating f'"(x), yields zero. All subsequent derivatives will also equal zero.