Chain Rule [SADT15] If u = f(x, y) where x = ecost and y = e sint, show that: + = e

Q: OIf f(x) = x+45inx+CoS x then find g'l) and g"). (where g= f")

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Q: If the tangent line to y = f(x) at (5, 2) passes through the point (0, 1), find f(5) and f'(5). f(5)…

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Q: unction fis given by f' (z) =-3z +4 for all z, and f(-1) = 6. Which of the following is an equation…

A: Given that the drivative of the function f isf'(x) = -3x+4  for all xand f(-1) = 6Now, f'(x)x = -1 =…

Q: Prove that this is correct to find the derivative. In detail please. Neep it asap because of the…

A: Step 1:Step 2:

Q: Find the equation of the tangent line to y = arctan(2x) when x = V3 O y - = ( - ) 1 3 O y - = }(2 -…

A: Let's find.

Q: Let f(x) = 9e* cos x f'(x) =

A: Given: f(x)=9excos x f'(x)=?   Solution: ddx(9excos x)

Q: Find directional derivative for f(x,y) = y +, Xo = 4, yo = 5, nx = 1, ny = 0. df ðf af -Nx + -Ny=|…

A: We will evaluate the required values.

Q: Find f'(3), where f(t) = u(t) · v(t), u(3) = (1, 2, −1), u'(3) = (8, 1, 6), and v(t) = (t, t², t³).…

A: The given functions and function values are .The aim is to find the function value .

Q: f'u where f(u) =ln(cos(g(2u)))

A: We have to find the derivative of given composition function

Q: Determine the anti derivative of the function please

A: Here given function as fx=3ex+11-x2-2sec2x-71+x2

Q: az az to find дх' ду Suppose function z = eu sin v, u = xy, v = x+y. Use the chain rule

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Q: 15. Find the derivatives of the following functions: (a) = 20 sin 15x; (b) - tan' x: (c)-" c cos x…

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Q: Estimate f(5.03) for f as in the figure. y=f(x) (10, 4) Tangent line (4, 2) (Give your answer to…

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