Differentiating exponential, logarithmic and trigonometric functions Quiz

1. Differentiate $y=e^{-3x}$.

• A. $e^{-3x}$
• B. $-3e^{-3x}$
• C. $3e^{-3x}$
• D. $-3xe^{-3x-1}$

2. Differentiate $y=\ln5x$.

• A. $\frac{5}{x}$
• B. $\frac{1}{5x}$
• C. $\frac1x$
• D. $5\ln x$

3. Differentiate $y=\cos4x$.

• A. $4\sin4x$
• B. $-\sin4x$
• C. $-4\cos4x$
• D. $-4\sin4x$

4. Differentiate $y=\tan3x$.

• A. $3\sec^{2}3x$
• B. $\sec^{2}3x$
• C. $3\tan3x$
• D. $\frac{1}{3}\sec^{2}3x$

5. Find the gradient of $y=3^{x}$ at $x=2$ to 3 s.f.

• A. $6$
• B. $9.89$
• C. $9$
• D. $18$