IGCSE, Edexcel, IB and AP Science Courses | Dr Dabour Hub Academy

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.

The derivative of f(x)=5^x2 with respect to x is:

5^x2/ln5

2x⋅5^x2⋅ln5

2x⋅5^x2

x²⋅5^x2−1

4.

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

−sec³t

csc²t

−cost

−tant

5.

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