Q3 of 168 Page 30

Differentiate the following with respect to x:

Given,

f(x) =

we need to find f’(x), so differentiating both sides with respect to x –

∴

Using algebra of derivatives –

⇒ f’(x) =

Use the formula:

∴ f’(x) =

⇒ f’(x) =

∴ f’(x) = x² – x^{( – 1/2)} – 10x ^{– 3}

Differentiate the following with respect to x:

x⁴ – 2sin x + 3 cos x

Differentiate the following with respect to x:

3^x + x³ + 3³

Differentiate the following with respect to x:

e^{x log a} + e^{a log x} + e^{a log a}

Differentiate the following with respect to x:

(2x² + 1)(3x + 2)