• 1.

  draft
  Differentiate the following functions: $\displaystyle x ^ n \sinh(ax + b),\;\tanh(cx+d),\;\ln(\cosh(px+q))$
• 2.

  draft
  Differentiate $\displaystyle \ln((ax+b)^{m})$
• 3.

  draft
  Differentiate $$\sqrt{a x^m+b})$$
• 4.

  draft
  Differentiate $\displaystyle e^{ax^{m} +bx^2+c}$
• 5.

  draft
  The derivative of $\displaystyle x ^ {m}(ax^2+b)^{n}$ is of the form $\displaystyle x^{m-1}(ax^2+b)^{n-1}g(x)$. Find $g(x)$.
• 6.

  draft
  Differentiate $x ^ m(ax+b)^n$ using the product rule. The answer will be of the form $x^{m-1}(ax+b)^{n-1}g(x)$ for a polynomial $g(x)$. Find $g(x)$.  
• 7.

  draft
  Differentiate $f(x) = x^m(a x+b)^n$.
• 8.

  draft
  Differentiate $x ^m \sqrt{a x+b}$.The answer is in the form $\displaystyle \frac{x^{m-1}g(x)}{2\sqrt{ax+b}}$for a polynomial $g(x)$. Find $g(x)$.
• 9.

  draft
  Differentiate the function $(a + b x)^m  e ^ {n x}$ using the product rule.
• 10.

  draft
  Differentiate $(a+bx) ^ {m} \sin(nx)$
• 11.

  draft
  Differentiate $x^m\cos(ax+b)$
• 12.

  draft
  Differentiate $\sin(ax+b) e ^ {nx}$.
• 13.

  draft
  Differentiate $(ax+b)^m(cx+d)^n$ using the product rule. The answer will be of the form $(ax+b)^{m-1}(cx+d)^{n-1}g(x)$ for a polynomial $g(x)$. Find $g(x)$.
• 14.

  draft
  Differentiate the function $f(x)=(a + b x)^m  e ^ {n x}$ using the product rule. Find $g(x)$ such that $f\;'(x)= (a + b x)^{m-1}  e ^ {n x}g(x)$.
• 15.

  draft
  The derivative of $\displaystyle \frac{ax+b}{cx^2+dx+f}$ is $\displaystyle \frac{g(x)}{(cx^2+dx+f)^2}$. Find $g(x)$.
• 16.

  draft
  The derivative of  $\displaystyle \frac{ax+b}{\sqrt{cx+d}}$ is $\displaystyle \frac{g(x)}{2(cx+d)^{3/2}}$. Find $g(x)$.

There are no questions in this group.