topic badge

2.07 Further differentiation

Interactive practice questions

Differentiate $y=x^7+3x^4+\sqrt[3]{x+4}$y=x7+3x4+3x+4.

Easy
1min

Differentiate $y=\left(x+7\right)^5-\frac{3}{x^4}$y=(x+7)53x4.

Easy
2min

Differentiate $y=4x^5+\frac{1}{x-4}+6$y=4x5+1x4+6.

Express the answer in positive index form.

Easy
2min

Differentiate $y=\frac{3}{x+7}+\frac{6x+7}{3}$y=3x+7+6x+73.

Easy
2min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

ACMMM105

understand the notion of composition of functions and use the chain rule for determining the derivatives of composite functions

ACMMM106

apply the product, quotient and chain rule to differentiate functions such as xe^x, tan⁡x,1/x^n, x sin⁡x, e^(−x)sin⁡x and f(ax+b)

What is Mathspace

About Mathspace