Use the quotient rule to find the derivative of 3w + w4 R (w) = %3D 2w2 + 1

Q: calculate the derivative with respect to x. x2y + 2x3y = x + y

A: Use product rule on x2y  and  2x3y Then apply the power rule

Q: Find the directional derivative of the following function at P(1, 0) in the direction that produces…

A: Given  fx,y = -3x2+4y3+2xe32y

Q: Find the derivative of the function. (S h(x) = %3D 8x2 + 9

A:

Q: Use the quotient rule to find the derivative of the following.

A: We know that, the quotient rule is a method of finding the derivative of a function that is the…

Q: What is the derivative of f(x) = x² +x² a +2 where a is a constant ? xa+2

A: We write f(x) using exponents f(x)=x7+x2+a+2xa+2f(x)=x7+x2+(a+2)x-(a+2)

Q: use the Chain Rule to find the derivative. y = (t2 + 3t + 1)−5/2

A: Given: y=t2+3t+1-52 Let, t2+3t+1=u Then, by using the chain rule dydt can be found out as,…

Q: Use the Chain Rule to find the derivative. y = (t2 + 3t + 1) -5/2

A: Here given y = (t2 + 3t + 1) -5/2

Q: Use the clerivative rules to tind the deriVative of y. y=(x² + y> x²? (x-1)s y= (4x-1)3 2x+)

A:

Q: find the derivative using the appropriate rule or combination of rules. y = e(x2+2x+3)2

A:

Q: Find the derivative of the function

A: Given  that y = ( ax+ √(x2+y2)) -2 Method used- Chain rule- The chain rule states that the…

Q: The derivative of the function y -3x2+4 is: %3D sec x

A: Given that y=-3x2+4secx find the derivative of y

Q: Find the derivative of the function. f(x) = V9 - 3x2 %D f'(x) %3D

A: The given function is f(x)=9-3x2

Q: Find the derivative of y = f(x) x2 +1

A:

Q: Use three-point midpoint formula to evaluate the first derivative of y = x² + 4x − 5 at x = 0 using…

A: The given problem is to find the first derivative of the given function at x=0 with given h value by…

Q: 4 f(x) = Vx*+2 %3D x*-2

A:

Q: Find the derivatives of f(x)=(ax4+b)6   and   f(x)=axe-bx+15 Assume that a and b are constants.

A: Given query is to find the derivative of the expression.

Q: Find the derivative using the definition. a. f(t) 2t+1 b. g(x) = 2x² +1

A:

Q: Find the derivative of the function. q=V19r - r7 19 - 7,6 B)- -776 1 A)· V19r - r7 2V191 - 17 C)…

A:

Q: Find the derivative by using the quotient rule. 3x-2 (a) 2x +3 Jx +2 (c) x2 3+2x (b) x² +1 (d) *+2

A: Given: a)  3x−22x+3b)  3+2xx2+1c)  x+2x2d)  x+2x

Q: Use the alternative form of the derivative to find the derivative atx = C, if f(x) C = 8 %3D x+4…

A:

Q: Find the derivative of f(w) = √3w²

A:

Q: Find the derivative of the function. h(t) = (t5- 1)(312-5t-2) %3D

A:

Q: Use the chain rule to find the derivative of f(r) 3e7z° +6z7

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Use the Quotient Rule to find the derivative of the function.                             g(t) =…

A:

Q: Find the derivative of the function.

A: We use the quotient rule

Q: Use the definition of the derivative to show that the derivative of y = f(x)3 2/ is 1 f'(z) = VI %3D

A: GIVEN f(x) = 2√ x CALCULATE f'(x) = 1/ √ x

Q: Find the derivative of the function. f(t) = 7t2/3 − 4t1/3 + 3

A:

Q: A. Get the derivative of the given function. 1. y = (5x³ + 4)² 2. y %3D

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Use the product rule to find the derivative of the following. p(y) = (y¯1 + y¯2) (2y-3 - 10y-4)

A:

Q: Use the chain rule to find the derivative of f(x) = 4e7#10 – 7æ° f'(x) %3D

A:

Q: calculate the derivative. W(y) = 6y4 + 7y2/3

A: Given:         Wy=6y4+7y23 Differentiate with respect to y         ddyWy=ddy6y4+7y23 Apply…

Q: 6. Use the quotient rule to find the derivative x - Vx y x + Vx (а) 8x2+ 2x y = x - 1 (b) 4х — 1 (c)…

A:

Q: V3x – y+ 6a*y? = 9y

A: Given: 3x-y3+6x4y2=9y

Q: Find the derivative of the followi (a) x = t2 + 5t + 4, y = 4t

A:

Q: Use the quotient rule to find the derivative of the following. 2x +1 y%= * +7 dy %3D xp

A: We can find the derivative by quotient rule.

Q: Find the derivative of the following function: 2x-1 11. y = %3D Sx +2 13. y = V2x + 6 %3D

A:

Q: B. Use the product and quotient rule to get the derivative of the following 4. Y= 2x-1/ x+2 5. f(x)=…

A:

Q: Find the derivative for f (x) = V4 + e2x a. e2x /4+ e2x b. 1 2v2e2x xe2x-1 /4+ e2x C.

A: To find the derivative of fx=4+e2x.

Q: Find the derivative using the definition fex)- = C fcx) fCx) = そり f ex) = KX" f cx) fx) = gx).hcx) 9…

A:

Q: Find the derivative of the function. 4x° + 6 y = y' = D %3D

A:

Q: 3w + w 5. R(w) = 2u2 +1

A: Solution:GivenR(w)=3w+w42w2+1To find the derivativeFormula:ddxuv=vdudx-udvdxv2

Q: What is the derivative of y = √/x? 1x² X 2 2 1 X X 2 23

A:

Q: Find the derivative of f(t) = 4· 2'.

A: Solution

Q: Use the quotient rule to find the derivative of * 3w + w4 R(w) = 2w2 + 1

A: We know that, if fx and gx are two differentiable function then by quotient rule of differentiation…

Q: Find the derivative of f (w) = w5 +2w. %3D

A: The given function is as follows.

Q: Use three-point midpoint formula to evaluate the first derivative of y = x2 + 4x 5 at a = 0 using a…

A: Given equation is y=x2+4x−5. We have to evaluate the first derivative of y at x=0 using a value of…

Q: Use the definition of the derivative to find df/dx. f(x) = x/(1-3x)

A: Given, function

Q: 3w + w R(w) = 2w2 + 1

A: 1. Use the quotient rule ddxuv=vu'-uv'v2 to differentiate Rw=3w+w42w2+1 with respect to w. Here,…

Q: Find the derivative of the function. q(y) = 5y (3y +4) q'(y) = %3D

A:

Q: d²y dæ? læ=9• Y = 7x-3+ læ? dz2

A: ddxxn=nxn-1