Differentiating standard functions

Differentiating standard functions Quiz

Spec 7.2 · Edexcel A-Level Maths: Quiz

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1. Differentiate $e^{5x}$ .
- A. $e^{5x}$
- B. $5e^{5x}$
- C. $5xe^{5x-1}$
- D. $\frac15e^{5x}$
2. Differentiate $2^{3x}$ .
- A. $3\ln2\times2^{3x}$
- B. $3\times2^{3x}$
- C. $\ln2\times2^{3x}$
- D. $3x\times2^{3x-1}$
3. Differentiate $\ln x+4\cos3x$ .
- A. $\frac1x+12\sin3x$
- B. $x+4\sin3x$
- C. $\frac1x-4\sin3x$
- D. $\frac1x-12\sin3x$
4. Differentiate $\tan2x$ .
- A. $\sec^{2}x$
- B. $2\tan x$
- C. $2\sec^{2}2x$
- D. $\sec^{2}2x$
5. As $h\to0$ , what does $\frac{\cos h-1}{h}$ tend to?
- A. $1$
- B. $-1$
- C. $0$
- D. $\frac12$