1. If y is a differentiable function of u, and u is a differentiable function of x, then y is a differentiable function
Posted: Thu Jul 14, 2022 4:30 pm
1. If y is a differentiable function of u, and u is a differentiable function of x, then y is a differentiable function of x. 2. If y=(5−x)21, then y′=(5−x)−21. 3. dxdcos(y2)=−2ysin(y2) 4. If y=4x25+7x16−9x4, then dx25d25y=0 5. If y=e5, then dxdy=e5 6. If f(x)=x2sinx, then f′(x)=2xcosx. 7. If y=cos2x+sin2x, then y′=0