Questions
Question 1
*
Differentiate \(f(x)=x^5\).
Question 2
*
Differentiate \(f(x)=7\).
Question 3
**
Differentiate \(f(x)=4x^3-2x+9\).
Question 4
**
Differentiate \(f(x)=x^{-2}+3x^4\).
Question 5
**
Differentiate \(f(x)=\frac{1}{x^3}+2\sqrt{x}\), for \(x>0\).
Question 6
**
Differentiate \(y=\sin x+\cos x\).
Question 7
**
Differentiate \(f(x)=e^x+\ln x\), for \(x>0\).
Question 8
***
Differentiate \(f(x)=(x^2+1)(x^3-2x)\).
Question 9
***
Differentiate \(f(x)=\frac{x^2+1}{x}\), for \(x\ne0\).
Question 10
****
Differentiate \(f(x)=\frac{x^2-1}{x+2}\), for \(x\ne-2\).