Find the derivatives of the following using chain rule. c. f(x)= lnx^2 +4e^x d. y=axe^bx e. y=e3x^3-x^2+5x-6

Q: G(x)=5x^2 ; f(x)=10x Find the anti derivatives of f

A: G(x) = 5x2f(x) = 10x

Q: Find derivative of 2x^4y^3-xy^2 using chain rule.

A:

Q: Describe what a partial derivative means geometrically.

A: Describe what a partial derivative means geometrically.

Q: g(x) = 2x^6-5x^4+3x^3-x^2+8x-9

A: Given: g(x)=2x6-5x4+3x3-x2+8x-9 To find: The nth derivative of the function.

Q: f(x)=(16x^3+24x^2+3x) (7x-1)/(15x^3+20x^2+5x) what is the derivatives

A: f(x)=(16x3+24x2+3x)(7x-1)(15x3+20x2+5x) To find derivative we apply product rule and quotient rule…

Q: 3. f(x)=(2x^2)(3x^2-x+7) 4. f(x)=-3(2x+7)^5   Need to find the derivative.

A: 3. Given function is Differentiating with respect to x, by using product rule of differentiation…

Q: 1. Find the derivative of the expanded function  a. a^2x^2+2abx+b^2 b.…

A: 1. a) Given, a2x2+2abx+b2 Consider,  y=a2x2+2abx+b2 Differentiate with respect to x,…

Q: The first derivative of f(x) = e5x*-6x will be A. (6-20x)e**-6x B. (20x 6) e5x*-6x C. (6+ 20x)…

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Q: Let f(x) = 2x ^ 3 – 7x + 3x ^ 7 – 2. Find the 4th order derivative evaluated at x=2. A

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Q: Find the derivative of: g(x) = 6x^2/(2-x)   24x+6x^2/(2-x)^2 24x^2 -6x^2/(2-x)^2 24x -6x^2/(2-x)^2…

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Q: g=X^4+2X^3/X^2,calculate the derivatives

A: Given that, gx=x4+2x3x2 We have to find g'(x).

Q: What is the derivatives of f(x)=(x^3)/(9-X^2) and its x and y intersect?

A: a) From the given problem: fx=x39-x2Ory=x39-x2   So,   dydx=ddxx39-x2=ddxx39-x2-ddx9-x2x39-x22…

Q: Graph f(y)=y^2(1-y)

A: Domain

Q: Fill in the appropriate blanks for the derivatives of the given functions, then evaluate each…

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Q: Which of the following is  F(x)+C  for  F(x)=∫f(x)dx=∫(3e^x+2sin⁡x)dx  and  F(0)=0  ? Select one…

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Q: g(h)=(h+4)^5/h^4 calculate the derivative

A: The quotient rule of differentiation is given by: ddxfg=g.dfdx-f.dgdxg2