How do you find the derivative of #1.5x^2-x+3.7#?

Answer 1

#f'(x) = 3x - 1#

Using the power rule, which is #f'(x) = nx^(n-1)# when #f(x) = x^n#, we can determine the derivative:

#1.5x^2 - x + 3.7# #2(1.5)x^1 - 1 x^0 + 0# As a side note, constants become 0 whenever they are being derived. The above equation can be simplified to become: #3x - 1#

We call this our derivative. I hope that clarifies!

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Answer 2

Aurora Alvarado

To find the derivative of (1.5x^2 - x + 3.7), you differentiate each term individually with respect to (x). The derivative of a constant term is zero. Therefore, the derivative of (1.5x^2) is (3x), the derivative of (-x) is (-1), and the derivative of (3.7) is (0). So, the derivative of the given function is (3x - 1).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.