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

1.

The derivative of \(f(x) = 5^{x^2}\) with respect to \(x\) is:

C) \(5^{x^2} / ln 5\)

B) \(2x cdot 5^{x^2} cdot ln 5\)

A) \(2x cdot 5^{x^2}\)

D) \(x^2 cdot 5^{x^2 - 1}\)

2.

The derivative of f(x) = 4 x³ - 5 x² + 7 x - 9 with respect to x is:

f'(x) = 12 x² - 10 x

f'(x) = 12 x² - 10 x + 7

f'(x) = 12 x³ - 10 x² + 7

f'(x) = 4 x² - 5 x + 7

3.

The derivative of y = sin(3x) with respect to x is:

-3 cos(3x)

cos(3x)

3 sin(3x)

3 cos(3x)

4.

The second derivative d²y/dx² of the function y = x⁴ - 2 x³ + 5 is:

12 x² - 6 x

12 x² - 12 x

4 x³ - 6 x²

24 x - 12

Lesson 1 Quiz: Differentiation of Trigonometric, Exponential and Logarithmic Functions