Question

Differentiate y=4x³+3x²+x+7with respect to x.

Answer 1

Answer:

dy/dx=12x^2+6x+1

Explanation:

Your question:-

Differentiate y=4x³+3x²+x+7 with respect to x

Your solution:-

y=4x³+3x²+x+7

$\frac{dy}{dx} = \frac{d(4{x}^{3} + 3 {x}^{2} + x + 7) }{dx}$

Using formula:-

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

$\frac{dy}{dx} = 4 \times 3x {}^{2} + 3 \times 2x {}^{1} + 1 + 0$

$\frac{dy}{dx} = 12x {}^{2} + 6x + 1$