If y-4x-5 ex-3- then d y-d x isA- ln 4-5 exB- ln x-5 exC- x4ln 4-5 exD- 4 x ln 4-5 e x

The correct option is D 4^xln 4+5e^xGiven, nbsp;y=4^x+5e^x+3 So, we have nbsp; dydx=d(4^x+5e^x+3)dx ⇒ dydx= nbsp; d4^xdx+5de^xdx+d3dx ⇒ dydx= 4^xln 4+5e^ ...

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Byju's Answer

Standard XII

Physics

Basic Differentiation Rule

If y=4x+5 ex+...

Question

If $y = 4^{x} + 5 e^{x} + 3$ , then $\frac{d y}{d x}$ is

ln 4 + 5 e^{x}

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ln x + 5 e^{x}

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4^{x} ln 4 + 5 e^{x}

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x^{4} ln 4 + 5 e^{x}

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Solution

The correct option is C $4^{x} ln 4 + 5 e^{x}$
Given, $y = 4^{x} + 5 e^{x} + 3$
So, we have
$\frac{d y}{d x} = \frac{d (4^{x} + 5 e^{x} + 3)}{d x}$
$\Rightarrow \frac{d y}{d x} = \frac{d 4^{x}}{d x} + 5 \frac{d e^{x}}{d x} + \frac{d 3}{d x}$
$\Rightarrow \frac{d y}{d x} = 4^{x} ln 4 + 5 e^{x}$

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Similar questions

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If y=4x+5ex+3, then dydx is

The correct option is C 4xln4+5exGiven, y=4x+5ex+3 So, we have dydx=d(4x+5ex+3)dx ⇒ dydx=d4xdx+5dexdx+d3dx ⇒ dydx=4xln4+5ex

If $y = 4^{x} + 5 e^{x} + 3$ , then $\frac{d y}{d x}$ is

The correct option is C $4^{x} ln 4 + 5 e^{x}$
Given, $y = 4^{x} + 5 e^{x} + 3$
So, we have
$\frac{d y}{d x} = \frac{d (4^{x} + 5 e^{x} + 3)}{d x}$
$\Rightarrow \frac{d y}{d x} = \frac{d 4^{x}}{d x} + 5 \frac{d e^{x}}{d x} + \frac{d 3}{d x}$
$\Rightarrow \frac{d y}{d x} = 4^{x} ln 4 + 5 e^{x}$