গুণফল ,ভাগফল ও সংযোজিত ফাংশনের অন্তরজ/Chain Rule
y=excosx\mathrm{y=e^xcosx}y=excosx হলে নিচের কোনটি সঠিক?
y2−2y1+2y=0\mathrm{y_2-2y_1+2y=0 }y2−2y1+2y=0
y2+2y−y1=0\mathrm{y_2+2y-y_1=0 }y2+2y−y1=0
y2+2y1−2y=0\mathrm{y_2+2y_1-2y=0 }y2+2y1−2y=0
y2−2y+y=0\mathrm{y_2-2y+y=0 }y2−2y+y=0
y=excosxy1=−exsinx+excosxy2=−excosx−exsinx+excosx−exsinx⇒y2=−2exsinx⇒y2=2(y1−y)∴y2−2y1+2y=0 \begin{aligned} y=e^{x} \cos x \\ & y_{1}=-e^{x} \sin x+e^{x} \cos x \\ & y_{2}=-e^{x} \cos x-e^{x} \sin x+e^{x} \cos x-e^{x} \sin x \\ \Rightarrow & y_{2}=-2 e^{x} \sin x \\ \Rightarrow & y_{2}=2\left(y_{1}-y\right) \\ \therefore & y_{2}-2 y_{1}+2 y=0\end{aligned} y=excosx⇒⇒∴y1=−exsinx+excosxy2=−excosx−exsinx+excosx−exsinxy2=−2exsinxy2=2(y1−y)y2−2y1+2y=0
If the angle between the curves y=2x y = 2^x y=2x and y=3x y=3^x y=3x is α, \alpha, α, then the value of tanα \tan \alpha tanα is equal to :
xxx এর সাপেক্ষে অন্তরক সহগ নিচের কোনটি? ln{ex(x−1x+1)3/2} \ln \left\{e^{x}\left(\frac{x-1}{x+1}\right)^{3 / 2}\right\} ln{ex(x+1x−1)3/2}
Differentiate the following w.rd/dxd/dxd/dx
sinx logx\sin x\ log xsinx logx.
ddx(e2x−3)= \frac{d}{d x}\left(e^{\sqrt{2 x}-3}\right)= dxd(e2x−3)= কত?
