### 1

Obraich a-mach $$f\textquotesingle(x)$$ nuair a tha $$f(x) = 12{x^{\frac{2}{3}}}$$

### 2

Diofaraich $$y = \sqrt x (x + 1)$$

### 3

Lorg an caisead aig an tansaint don lùb $$y = \frac{{x + 1}}{{\sqrt x }}$$ aig a' phuing nuair a tha x = 4.

### 4

Obraich a-mach an reat atharrachaidh aig an fhuincsean $$h(x) = \frac{{(x + 1)(x - 1)}}{x}$$ nuair a tha x = -1

### 5

Diofaraich $$y = 4x - 2\sin x$$

### 6

Diofaraich $$y = 5\cos x - 1$$

### 7

Obraich a-mach $$\frac{{dy}}{{dx}}$$ nuair a tha $$y = 7\sin x + \cos x$$

### 8

Obraich a-mach $$\frac{{dy}}{{dx}}$$ nuair a tha $$y = {({x^2} + 5)^{11}}$$

### 9

Diofaraich $$y = {(1 - x)^{ - \frac{1}{2}}}$$

### 10

Diofaraich $$y = \cos (1 + 2x)$$

### 11

Diofaraich $$y = {(\cos 2x)^3}$$

### 12

Obraich a-mach co-aontar an tainsaint don lùb leis a' cho-aontar $$y = 3{x^2} + 2x - 5$$ aig a' phuing far a bheil x = - 2

### 13

Dè a' phuing no na puingean air lùb a' cho-aontair $$y = 5{x^3}$$ aig a bheil an tansaint co-shìnte ris an loidhne leis a' cho-aontar $$15x - 4y + 8 = 0$$?