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Solve the following problem. Obtain derivative of the following function: x4 + cos x - Physics

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Question

Solve the following problem.

Obtain derivative of the following function: x4 + cos x

Sum

Solution

Using `"d"/"dx" ["f"_1("x") + "f"_2("x")] = ("df"_1("x"))/"dx" + ("df"_2("x"))/"dx"`

For f1(x) = x4 and f2(x) = cos x 

`"d"/"dx" ("x"^4 + "cos x") = ("d"("x"^4))/"dx" + ("d"(cos "x"))/"dx"`

= 4x3 - sin x

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Introduction to Calculus
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Chapter 2: Mathematical Methods - Exercises [Page 29]

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Balbharati Physics [English] 11 Standard Maharashtra State Board
Chapter 2 Mathematical Methods
Exercises | Q 3. (v)(ii) | Page 29
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