Let f(x) = x{eq}^2 {/eq} + 3x - 5. Find f'(0), f'(3), f'(-1), and f'(-2).

Question:

Let f(x) = x{eq}^2 {/eq} + 3x - 5. Find f'(0), f'(3), f'(-1), and f'(-2).

Signs of the First Derivative:

The first derivative of a real variable function can change sign at values where this derivative is zero or at values where it is not defined. The sign in each interval is precisely defined by evaluating in the first derivative a point that belongs to the interval and verifying the sign of the result.

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Differentiate the given function with respect to {eq}x{/eq}.

$$\begin{align} f(x) &= x^2+3x-5\\[0.3cm] f'(x) &=...

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How to Compute Derivatives

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Chapter 20 / Lesson 1
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Understand what derivative calculus is and how to find the derivative of a function. Learn the derivative rules, and practice taking derivatives by following examples.


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