Question

If y =
x4+5x3−4x2+7x−2 , differentiate with respect to x .

4x3+15x2−8x−7
4x3+15x2−8x+7
4x3+15x2−8x
2x-5

Answer 1

Answer on Question #47030 – Math – Differential Calculus | Equations

If $x^4 + 5x^3 - 4x^2 + 7x - 2$, differentiate with respect to $x$.

$$\begin{array}{l} 4x^3 + 15x^2 - 8x - 7 \\ 4x^3 + 15x^2 - 8x + 7 \\ 4x^3 + 15x^2 - 8x \\ 2x - 5 \\ \end{array}$$

Solution

$$\frac{d}{dx}(x^4 + 5x^3 - 4x^2 + 7x - 2) = 4 \cdot x^3 + 5 \cdot 3 \cdot x^2 - 4 \cdot 2 \cdot x + 7 = 4x^3 + 15x^2 - 8x + 7$$

We applied differentiation rule for sum, difference of functions and powers.

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