Turunan Trigonometri

Turunan Trigonometri

by Ari Sujati

Multiple Choice

Diketahui fungsi trigonometri $$f\left(x\right)=\sin x\cos\ x$$ , maka  $$f'\left(x\right)$$  adalah...

• $$\cos\ x\sin\ x$$  

• $$-2\sin x\cos x$$  

• $$\sin x\cos x$$  

• 1

• $$\cos^2x-\sin^2x$$  

Multiple Choice

Diketahui fungsi turunan trigonometri $$f\left(x\right)=2\sin3x\cos4x$$  , maka  $$f'\left(0\right)$$  adalah...

• $$-\frac{1}{2}$$  

• 6 

• $$\frac{1}{2}$$  

• $$\frac{1}{2}\sqrt{2}$$  

• $$\frac{1}{2}\sqrt{3}$$  

Multiple Choice

Diketahui fungsi turunan trigonometri $$f\left(x\right)=\frac{2\sin x}{3\cos\ x}\$$  maka  $$f'\left(x\right)$$  adalah...

• $$\frac{1}{2\cos^2x}$$  

• $$\frac{2}{3\cos^2x}$$  

• $$\frac{\sqrt{3}}{2\cos^2x}$$  

• $$\frac{1}{\cos^2x}$$  

• $$\cos^2x$$  

Multiple Choice

Diketahui fungsi turunan trigonometri $$f\left(x\right)=\frac{4\cos2x}{\sin\ 4x}$$  , maka  $$f'\left(\frac{\pi}{4}\right)$$  adalah...

• $$-\frac{1}{2}\sqrt{3}$$  

• $$-\sqrt{3}$$  

• $$0$$  

• $$-1$$  

• $$\frac{1}{2}\sqrt{3}$$  

Multiple Choice

Diketahui fungsi turunan trigonometri $$f\left(x\right)=\frac{\sin\left(2x-\frac{\pi}{2}\right)}{\cos\left(3x-\pi\right)}$$  , maka  $$f'\left(\frac{\pi}{3}\right)$$  adalah...

• $$-\sqrt{3}$$  

• $$-\frac{1}{2}\sqrt{3}$$  

• $$0$$  

• $$\frac{1}{2}\sqrt{3}$$  

• $$\sqrt{3}$$  

Multiple Choice

Diketahui fungsi turunan trigonometri $$f\left(x\right)=\sin^3x$$ , maka  $$f'\left(x\right)$$  adalah... 

• $$\cos^3x$$  

• $$3\sin x\cos x$$  

• undefined 

• $$\sin^2x\cos x$$  

• $$\sin x\cos x$$  

Multiple Choice

Diketahui fungsi trigonometri $$f\left(x\right)=2\cos^5\left(2x-\pi\right)$$ , maka  $$f'\left(\frac{2}{3}\pi\right)$$  adalah...

• $$-\frac{5}{8}\sqrt{3}$$  

• $$-\frac{9}{8}$$  

• $$0$$  

• $$\frac{9}{8}$$  

• $$\frac{45}{8}$$  

Multiple Choice

Diketahui fungsi trigonometri $$f\left(x\right)=\sin4x$$  , maka  $$f''\left(x\right)$$  adalah...

• $$4\cos4x$$  

• $$4\sin4x$$  

• $$-16\sin4x$$  

• $$-16\cos4x$$  

• $$8\sin4x$$  

Multiple Choice

Diketahui fungsi trigonometri $$f\left(x\right)=2\sin4x+3\cos x$$ , maka  $$f''\left(\frac{\pi}{4}\right)$$  adalah... 

• $$\frac{1}{2}\sqrt{2}$$  

• $$\frac{3}{2}\sqrt{2}$$  

• $$0$$  

• $$-\frac{3}{2}\sqrt{2}$$  

• $$-\frac{1}{2}\sqrt{2}$$