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Differentiate exponent

Authored by HALIMATUL BM

Mathematics

University

Used 46+ times

Differentiate exponent
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10 questions

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1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the derivative of

 y=e2x+3y=e^{2x+3}  

 dydx=e2x+3\frac{dy}{dx}=e^{2x+3}  

 dydx=2e2x+3\frac{dy}{dx}=2e^{2x+3}  

 dydx=2xe2x+3\frac{dy}{dx}=2xe^{2x+3}  

 dydx=3e2x+3\frac{dy}{dx}=3e^{2x+3}  

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the derivative of

 y=3e23xy=3e^{2-3x}  

 dydx=3e23x\frac{dy}{dx}=3e^{2-3x}  

 dydx=3e23x\frac{dy}{dx}=3e^{2-3x}  

 dydx=9e23x\frac{dy}{dx}=-9e^{2-3x}  

 dydx=9e23x\frac{dy}{dx}=9e^{2-3x}  

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the derivative of

 y=2ex+3y=2e^{\sqrt{x+3}}  

 dydx=ex+3x+3\frac{dy}{dx}=\frac{e^{\sqrt{x+3}}}{\sqrt{x+3}}  

 dydx=2ex+3x+3\frac{dy}{dx}=\frac{2e^{\sqrt{x+3}}}{\sqrt{x+3}}  

 dydx=2ex+3\frac{dy}{dx}=2e^{\sqrt{x+3}}  

 dydx=ex+3\frac{dy}{dx}=e^{\sqrt{x+3}}  

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the derivative of

 y=5e4xx2y=5e^{4x-x^2}  

 dydx=5e4xx2\frac{dy}{dx}=5e^{4x-x^2}  

 dydx=5(2x)e4xx2\frac{dy}{dx}=5\left(2-x\right)e^{4x-x^2}  

 dydx=10(2x)e4xx2\frac{dy}{dx}=10\left(2-x\right)e^{4x-x^2}  

 dydx=(42x)e4xx2\frac{dy}{dx}=\left(4-2x\right)e^{4x-x^2}  

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the derivative of

 y=e3x+12e2xy=e^{3x}+\frac{1}{2e^{2x}}  

 dydx=3e3x12e2x\frac{dy}{dx}=3e^{3x}-\frac{1}{2e^{2x}}  

 dydx=3e3x1e2x\frac{dy}{dx}=3e^{3x}-\frac{1}{e^{2x}}  

 dydx=e3x1e2x\frac{dy}{dx}=e^{3x}-\frac{1}{e^{2x}}  

 dydx=e3x12e2x\frac{dy}{dx}=e^{3x}-\frac{1}{2e^{2x}}  

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the derivative of

 y=ex2+1y=e^{\sqrt{x^2+1}}  

 dydx=ex2+1x2+1\frac{dy}{dx}=\frac{e^{\sqrt{x^2+1}}}{\sqrt{x^2+1}}  

 dydx=2ex2+1x2+1\frac{dy}{dx}=\frac{2e^{\sqrt{x^2+1}}}{\sqrt{x^2+1}}  

 dydx=2xex2+1x2+1\frac{dy}{dx}=\frac{2xe^{\sqrt{x^2+1}}}{\sqrt{x^2+1}}  

 dydx=xex2+1x2+1\frac{dy}{dx}=\frac{xe^{\sqrt{x^2+1}}}{\sqrt{x^2+1}}  

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the derivative of

 y=xexy=xe^x  

 dydx=ex+xex\frac{dy}{dx}=e^x+xe^x  

 dydx=exxex\frac{dy}{dx}=e^x-xe^x  

 dydx=xex\frac{dy}{dx}=xe^x  

 dydx=ex\frac{dy}{dx}=e^x  

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