Solved: "Use formulas (1) and (2) and the power..." - Plainmath

feminizmiki

Answered question

2021-12-11

Use formulas (1) and (2) and the power rule to find the derivatives of f (x) = -2x

Answer & Explanation

Paineow

Beginner2021-12-12Added 30 answers

Step 1
To find the derivative of: f(x)=−2x
Solution:
f(x)=−2x
On differentiating both sides w.r.t x we get:

\frac{d}{d x} (f (x)) = \frac{d}{d x} (- 2 x)

\Rightarrow f^{'} (x) = - 2 \cdot \frac{d}{d x} (x)

\Rightarrow f^{'} (x) = - 2 (1)

(using,

\frac{d}{d x} (x^{n}) = n x^{n - 1}

)

\Rightarrow f^{'} (x) = - 2

Step 2
Result:
f'(x)=-2.

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