d. y = ار نے

Q: Let n be a positive integer. Prove that 1:(1)+2 (;) . (:)- n n + 2 . +n . n2"-1. ... n

A: We have to prove the identity: 1·n1+2·n2+....+n·nn=n2n-1

Q: -. Let f(x) = 3x²(x − 1)². minimum or neither. Als

A: The given function is ; f(x)=3x2(x-1) 7.

Q: e +e =e**

A:

Q: F(t) = 3t4+413–2t²e? -2t2+1 - %3D

A: Since there are multiple questions present, according to company policy we will be answering only…

Q: + mw Cai :) (T-T: Mu Cw + mai AI Ccu = Mu (Ten- Te)

A:

Q: (c) y = e-a sin(ax + 3). (e) y = tan(5x) 52+1 (d) y = a √a² + x²

A: (d/dx)(af(x)) = a(d/dx)(f(x)) , where a is constant. (u.v)' = u.v'+u'.v (u/v)' = (v.u' - u.v')/v2

Q: -*+ 42 –11 f (x)

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: · f(x) = sin(In r²) %3D

A:

Q: Find the nth order derivative of the square root y=√x.

A: Let's first calculate the nth order derivative of the power function y=xm where m is a real number.

Q: e3x-e-3x y - 23x+e-3X %3D

A: d2dx2e3x-e-3xe3x+e-3x=ddx12e3x+e-3x2=-243e3x-3e-3xe3x+e-3x3

Q: (x² – y²)² – 4ay³ = yCosx + xCosy = 1

A: We have to find the derivative of the above functions .

Q: (q) f(x) = sin(sin(sin(x)))

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find the first and second derivative of: y = sin-(5x)

A:

Q: 3. 6. t ca)

A: The chain rule of differentiation is to be used to find the derivative of f(x)=(x3+x-1)3. The chain…

Q: 11. In y = e" sin x

A:

Q: Find the nth order derivative of the cube root y=3√x.

A: We first find the first three derivatives using the power rule

Q: Find the derivative of y = 7x⁹ + 9 +3. dy = dx

A:

Q: tan(x)e" x2 +1 D(r) =

A: Given function is Differentiating with respect to x by using quotient rule of differentiation which…

Q: I. Directions: Find the derivative of the following. Show your solutions: 1. y=2t* - 10t² + 13t 2.…

A: