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1.

If x = a cos θ and y = a sin θ, what is the value of d²y/dx² at θ = π/2?

0

1/a

-1/a

-a

2.

If y=sec(3x), then the derivative d/ydx is equal to:

3sec(3x)tan(3x)

3sec²(3x)

−3csc(3x)cot(3x)

sec(3x)tan(3x)

3.

If x=sint and y=cost, then the second derivative d/2ydx2 is equal to:

−sec³t

csc²t

−cost

−tant

4.

The slope of the normal to the curve y=e^2x at the point where x=0 is:

1/2

-1/2

-2

2

Lesson 1: Differentiation of Trigonometric, Exponential and Logarithmic Functions — Lesson quiz