Nuppere that fcn=3,f'cn=5,g(n=2, and gO=l %3D Olat H(x)=f(X) g (x). Ih poneble, calalate the dorunate of H() at x =1 ® lut K Ca)= $(x) Ih ponible, calulate the downative KG) at g(6)

Q: 4. 2 sinx-cos x-1=0

A: Given that Noted that  Here as

Q: Suppose h(x)= e*g(x). Find h '(0) given that g(0) = 9, g ' (0) = 7. h' (0) = %3D

A:

Q: r6x14 dt. Find F'(x) if F(x)

A: Please refer to the image below

Q: Find y' and y". y' = y" = y = √x In(x)

A: To find y' & y''   As per our guidelines we are supposed to answer?️ only one question. Kindly…

Q: 4. Use a suitable numerical method to estimate , xln(x)dx, using h = 0.4. Use 4 decimal places in…

A: Here we will use right Riemann sum to estimate the integral  Given a function f(x) that is…

Q: Find y': y = ez² + 3x² + e²e Oy = e + 3x ln x + e²ex Oy' = e + 3x²-1 Oy = e + 3x² In a Oy = e +…

A: Given y=e12x+3xe+e2e Given query is to find the derivative y'

Q: The first derivative of the function y = f(r) = (2x²) / (3r³) %3D Lütfen birini seçin: O a. dy / d.r…

A:

Q: Let h(x) = V4+ 3f(x) with f(1) = 7 and f'(1) = 4. Find the value of h'(1).

A:

Q: y" + y' = xe" denkleminin ÖZEL ÇÖZÜMÜ hangisidir? O a. yp=(1/2)e^ (3x).[x-(3/2)] O b. yp=…

A: The given differential equation is  y" + y' = xex

Q: Determine y' when y = x-1/x 1. y' y (lnx + 1) 2. y'= -ry(2 ln x + 1) 3. y' ry(2]nr−1) 4. y = −…

A:

Q: Given: y' + xy = 2. Find u (x). e^ (x/2) e^ (x^2/2) e^ (2/x) e^ (2/x^2) 2. A. C. D. B.

A:

Q: cosh (x – 3) 18. dx /8 – cosh² (x – 3) 19. x In x dx

A:

Q: xy" + y' = 1/(x lnx), 1<x< e, y(1) = 0, y'(e) = 0.

A:

Q: Let X ~ exp(rate = 3). (a) Find the mgf of X. (b) Use the mgf to find E[X], Var(X), E[X4] and E[X").

A:

Q: Q2/ Find the dirivative for the follwing function y = cosh(x)/ln(x)

A: Given: To Find:

Q: Find f^1(t) if f(t) = t/ sq rt t^2 +1

A: Hi there, as you have mentioned, that is why is have solved mentioned question.

Q: Find f'(x). Vx-3 f(x) = f'(x) = %3D

A: Given function  fx=ex-3 To differentiate given function chain rule is used ,chain rule is defined as…

Q: Let f(x) = e*g(x), where g(0) = 1 and g'(0) = 4. Find f'(0). %3D %3D

A: fx=exgx Differentiating with respect to x, we get f'x=dexdx·gx+dgxdx·ex…

Q: Let f(x) = ln(e* – 5) . Find f'(x). A) f'(x) = 3e3z e3z -5 B) f'(x) = e3z -5 C) f'(x) = -3e3z e3z –…

A:

Q: r=√{(e^{-y}xcos(x)-e^{-y}ysin(x))^2+(e^{-y}xsin(x)+e^{-y}ycos(x))^2} find r.

A: Given information: r=e-yxcosx-e-yysinx2+e-yxsinx+e-yycosx2   Formula used:…

Q: 0.08e* Determine p' (x) when p(x) =

A: Given  p(x) = 0.08 exx

Q: Seatwork: Find the y'. 1. y = 5e2x 2. y = ex²+2x-1 3. y = x In Vx 4. y = 5ln x 5. y = In () x+1 'x…

A:

Q: Let f(x,y) = 4eô In(y) NOTE: Enter the exact answer. (a) Find f(3 ln(y), e“). f(3 In(y), e") (b)…

A:

Q: Let f(æ) = g(x · g(x)) + g(x + g(x)). Find f'(4) if 3 4 1 g'(4) g(4) 2' g'(2) 2 -6. |3D - (으),6 O A.…

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Q: x² + 4xy + y² = 13, (2, 1)

A:

Q: Solve for k:  y(t) = y(0) * e^(kt* (1-t/p) )  (we know that y(0)=P/10)

A: We have given yt=y0·ekt·1-tp,  y0=p10 By dividing both sides of the equation by y(0), yty0=ekt·1-tp…