Question

Y is equal to 4 x square + 3 X + 7 find DY upon DX

Answer 1

Correct Question

y = 4x² + 3x + 7 , find $\frac{dy}{dx}$

━━━━━━━━━━━━━

Answer

Given -

y = 4x² + 3x + 7

━━━━━━━━━━━━━

Formula used -

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

$\longrightarrow$$\frac{d(c)}{dx} = 0$

where c is any constant.

━━━━━━━━━━━━━

Solution -

$\implies$$\frac{dy}{dx} = 2(4x) + 1(3) + 0$

$\implies$$\frac{dy}{dx} = 8x + 3$

━━━━━━━━━━━━━

ADDITIONAL INFORMATION

$\longrightarrow$$\frac{d( {cx}^{n} )}{dx} = c(n {x}^{n - 1} )$

$\longrightarrow$$\frac{d( {e}^{x} )}{dx} = {e}^{x}$

$\longrightarrow$$\frac{d(u + v)}{dx} = \frac{du}{dx} + \frac{dv}{dx}$

$\longrightarrow$$\frac{d(uv)}{dx} = v\frac{du}{dx} + u \frac{dv}{dx}$

━━━━━━━━━━━━━

Thanks