What is the gradient of $y = 6e^{3x^2 - 3}$ at the point where $x=2$?

A

$\frac{dy}{dx} = 6e^{6x}$

B

$y = 72e^{9}$

C

$y=6e^9$

D

$\frac{dy}{dx} = 6e^{12}$

E

$\frac{dy}{dx} = 36xe^{3x^2 - 3}$

F

$\frac{dy}{dx} = 6e^{3x^2 - 3}$

Question 10

What is $\frac{dy}{dx}$ if $y = \tan(x)$?

A

-$\cot(x)$

B

$\cot(x)$

C

$\sec(x)$

D

$\tan^2(x)$

E

$\sec(x)\tan(x)$

F

$\sec^2(x)$

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Colin

Colin is a Weymouth maths tutor, author of several Maths For Dummies books and A-level maths guides. He started Flying Colours Maths in 2008.
He lives with an espresso pot and nothing to prove.

## Jasmine Jones

I hope this is good! Absolutely bricking my mocks!

## Colin

Good luck, Jasmine – let me know if there are any topics you’d like me to cover!