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3 years ago

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Mathematics

1 answer:

aleksley [76]3 years ago

7 0

Answer:

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KL has a midpoint at M (3,5) Point L is at (2,3) find the coordinates of point K.

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3 years ago

Find the derivative using the limit process of f (x) = - 10x

zubka84 [21]

Answer:

$\frac{d}{dx} f(x) =-10$

General Formulas and Concepts:

Calculus

Derivative Notation
Definition of a Derivative: $\lim_{h \to 0} \frac{f(x+h)-f(x)}{h}$

Step-by-step explanation:

Step 1: Define

f(x) = -10x

Step 2: Find Derivative

Substitute: $\frac{d}{dx} f(x)= \lim_{h \to 0} \frac{-10(x + h)-(-10x)}{h}$
Distribute -10: $\frac{d}{dx} f(x)= \lim_{h \to 0} \frac{-10x -10h-(-10x)}{h}$
Distribute -1: $\frac{d}{dx} f(x)= \lim_{h \to 0} \frac{-10x -10h+10x}{h}$
Combine like terms: $\frac{d}{dx} f(x)= \lim_{h \to 0} \frac{-10h}{h}$
Divide: $\frac{d}{dx} f(x)= \lim_{h \to 0} -10$
Evaluate: $\frac{d}{dx} f(x)=-10$

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4 years ago

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Step-by-step explanation:

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