Differences

This shows you the differences between two versions of the page.

--- playground [2012/09/23 13:57] – randy
+++ playground [2022/09/01 11:44] (current) – external edit 127.0.0.1
@@ Line 1: / Line 1: @@
-===== 20.3 =====
+===== 20.10 =====
-**a**
-$$
-\begin{split}
-& 4x^4 -3x^2 + 2 \\
-& 16x^3 -6x
-\end{split}
-$$
 **e**
@@ Line 14: / Line 5: @@
 $$
 \begin{split}
-x^2 -5x^3 +1 \\
-x -15x^2 +1
-\end{split}
-$$
+(x - x^4) ^ {-2} \\
+-2 (x - x^4) ^ {-3} \cdot 1 - 4 x^3 \\
+-2(x - x^4) ^ {-3}
-===== 20.5 =====
-**a**
-$$
-\begin{split}
-\sqrt{3}{x} \\
-x^{\frac{1}{3}} \\
-\frac{1}{2} x ^ {-\frac{2}{3}}
 \end{split}
 $$
-**e**
+Behalve de kettingregel gebruik je ook de somregel!
-$$
+===== 20.13 =====
-\begin{split}
-x^2 \sqrt{5}{x^2} \\
-x^2 x ^ {\frac{2}{5}} \\
-x^ {\frac{12}{5}} \\
-\frac{12}{5} x ^ {\frac{7}{5}}
-\end{split}
-$$
-===== 20.6 =====
-**a**
-$$
-\begin{split}
-\sqrt{7}{x^2} \\
-x ^ {\frac{2}{7}} \\
-\frac{2}{7} \\
-\frac{2}{7} x ^ {-\frac{5}{7}}
-\end{split}
-$$
 **b**
-$$
-\begin{split}
-\sqrt{3x^3} \\
-^{\frac{1}{2}} \cdot (x3)^{\frac{1}{2}} \\
-^{\frac{1}{2}} \cdot x^{\frac{3}{2}} \\
-\frac{3}{2} \sqrt{3} x ^ {\frac{1}{2}}
-\end{split}
-$$
-.9
-**e**
 $$
 \begin{split}
-\frac{1}{x\sqrt[3]{x}} \\
+x \cos(2x) \\
-\cdot \frac{1}{ (x \sqrt[3]{x}) ^ 1 } \\
+\cos (2x) &+ x - \sin(2x) \cdot 2 \\
- \cdot (x \sqrt[3]{x}) ^ {-1} \\
+\cos (2x) &- 2x \sin(2x)
-\cdot x^{-1} \cdot \sqrt[3]{x} ^ {-1} \\
-x^{-1} \cdot (x^{\frac{1}{3}}) ^ {-1} \\
-x^{-1} \cdot x^{-\frac{1}{3}} \\
-x^{-\frac{4}{3}} \\
--\frac{4}{3} x^{-\frac{7}{3}}
 \end{split}
 $$
+Behalve de productregel gebruik je hierbij ook de kettingregel!