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# Derivative Problem | TOMATO BStat Objective 764

Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Surface area. You may use sequential hints.

Try this problem from I.S.I. B.Stat Entrance Objective Problem based on Derivative.

## Derivative Problem (B.Stat Objective Question )

If y=$$3^\frac{sinax}{cosbx}$$, then $$\frac{dy}{dx}$$ is

• $$3^\frac{sinax}{cosbx}\frac{acosaxcosbx-bsinaxsinbx}{cos^{2}bx}log3$$
• $$3^\frac{sinax}{cosbx}\frac{acosaxcosbx+bsinaxsinbx}{cos^{2}bx}log3$$
• $$3^\frac{sinax}{cosbx}log3$$
• $$3^\frac{sinax}{cosbx}$$

Equation

Derivative

Algebra

## Check the Answer

But try the problem first…

Answer:$$3^\frac{sinax}{cosbx}\frac{acosaxcosbx+bsinaxsinbx}{cos^{2}bx}log3$$

Source
Suggested Reading

B.Stat Objective Problem 764

Challenges and Thrills of Pre-College Mathematics by University Press

## Try with Hints

First hint

$$y=3^\frac{sinax}{cosbx}$$

or, $$\frac{dy}{dx}$$=$$3^{\frac{sinax}{cosbx}}log_{e}{3}\frac{d}{dx}\frac{sinax}{cosbx}$$

Second Hint

or, $$\frac{dy}{dx}$$=$$3^{\frac{sinax}{cosbx}}log_{e}{3}{\frac{cosbxcosaxa-sinax(-sinbx)b}{cos^{2}bx}}$$

Final Step

or, $$3^\frac{sinax}{cosbx}\frac{acosaxcosbx+bsinaxsinbx}{cos^{2}bx}log3$$

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