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LDRIVELLES1731QCIN
Answered

f'(x) = x3 - 7
Find the derivative
(pa help po)​

Sagot :

KIZUNAHIGHIN

[tex]\large \bold {SOLUTION}[/tex]

[tex]\small\textsf{By difference of functions} \\ \\ \sf\blue{(f - g)(x) = f(x) - g(x)}[/tex]

[tex]\small\textsf{We also apply the same thing into differentiation} \\ \\ \sf\blue{(f - g)'(x) = f(x)' - g(x)'}[/tex]

[tex]\small\textsf{Use the formula below in differentiating polynomials} \\ \\ \sf\blue{f'(x) = {x}^{n} \therefore{nx ^{n - 1} }}[/tex]

[tex]\small\textsf\red{x is the numerical coefficient of the term} \\ \small\textsf\red{n is the exponent of the constant}[/tex]

[tex]\small\sf{f'(x) = {x}^{3} + 7}[/tex]

[tex]\small\textsf{Any constant to be differentiated is equal to zero}[/tex]

[tex]\small\sf{f'(x) = 3(1) ^{3 - 1} + 0}[/tex]

[tex]\small\boxed{\green{\sf{f'(x) = 3 x^{2}}}}[/tex]

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KAIZEROXFORD456IN

[tex]\huge\purple{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]

[tex]\tt{\huge\color{black}{{Solve \: for \: F:}}}[/tex]

  • [tex]f\in \mathrm{R},x_{3}=7\\[/tex]

[tex]\tt{\huge\color{black}{{Solve \: for \: X:}}}[/tex]

  • [tex]x\in \mathrm{R},x_{3}=7\\[/tex]

[tex]\tt{\large\color{black}{{KaizerOxford456:}}}[/tex]

[tex]\huge\purple{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]

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