Given that y=27x^(3)+(1)/(x)+1 (a) write down an expression for (dy)/((d)x),

Combine derivatives: Now we combine the derivatives of each term to get the expression for (dy)/(dx). (dy)/(dx) = 81x^(2) - (1)/(x^2) + 0 This simplifies to (dy)/(dx) = 81x^(2) - (1)/(x^2).

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Given that
y=27x^(3)+(1)/(x)+1
(a) write down an expression for
(dy)/((d)x),

Given that $y=27 x^{3}+\frac{1}{x}+1$ $\newline$ (a) write down an expression for $\frac{\mathrm{d} y}{\mathrm{~d} x}$ ,

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Math Problems

Calculus

Find indefinite integrals using the substitution

Full solution

Q. Given that

y=27 x^{3}+\frac{1}{x}+1

\newline

(a) write down an expression for

\frac{\mathrm{d} y}{\mathrm{~d} x}

Combine derivatives: Now we combine the derivatives of each term to get the expression for $(dy)/(dx)$ . $\newline$ $(dy)/(dx) = 81x^{2} - \frac{1}{x^2} + 0$ $\newline$ This simplifies to $(dy)/(dx) = 81x^{2} - \frac{1}{x^2}$ .