find all functions u(t) that solve the equation u'(t)+t*u(t)=-t * e^(-t^2), subject to u(0) = 1

Q: Solve f'(t)-f(t)=2 where f(0) = 0

A: Given equation

Q: Find y'' in y = x(2x + 1)4

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Q: Find f if f’’(t)=2e^t + 3sin(t), f(0)= -5, f(pi) =-10

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Q: x + + 8)(6y – 1) = 0 find the second derivative %3D

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Q: Find h' (2) if h(x) = 1n(x + √(x2 - 1)) h'(2) =

A: Given hx=lnx+x2-1

Q: Find f'(x). f(x)= 2x 29+ In x

A: F′(x)=(29+lnx)22lnx+56​Explanation:If you have any problem let me know here in comment box for this…

Q: h(x)=3(5x³ -2x² +6)'. Find h'(x).

A: Given, h(x) = 3(5x3 -2x2 +6 )7

Q: Find the first and second derivates of the functions. h(t) = t^4 - 7t^3 + 5t^2 - 8t - 14…

A: Find the first and second derivative of the function

Q: solve  w' + ((2w)/x) = x5,       w(0) = 1 what is w(1)

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Q: Find all complementary functions of the equation xy" - 2y'=0, x>0 1, x² x₁ x³ a. b. C. d. x, x(Inx)²…

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Q: If f(x) = 7/¤(x – - 3/a + 5), find f'(9).

A: Given : f(x)=7x x3-3x+5 We have to find f'(9)

Q: Find the derivative of y = 5x²sec 1(2x-3). O y'= 10x sec-¹(2x-3) + O y'= 10x sec-¹(2x-3) + O y'=…

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Q: Now, differentiate the function y' = 4x(1 + 2 In). y" = 4 + 8 + In + 8 In

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Q: 3. f(t) = -2t2 + 3t – 6 6. h(s) = s4/5 1 +1 9. h(t) = 1* + 21 + 2

A: To find the derivative of f(t)=-2t2+3t-6, use the power rule of differentiation, ddttn=ntn-1.

Q: Find the original function f(x) from given equation f'''(x)

A: We can solve this as follows:

Q: Find f(x) given that f"(x) = 3x^3 + 6x and f'(2) = 0 and f(2) = 0.

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Q: Find the function f that satisfies f '(x) = 3x^2- 8x+ 2 and f(1) = 6.

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Q: Find f'(x) for the function. RM) = 7x(17x* + ) x + 1 f'(x) = %3D

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Q: f''(x) = 2x + 2 and f'( – 2) = 2 and f(– 2) = 3. Find f'(x) = and find f(2)

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Q: Find  f'(a)

A: Here given function as ft=2t+1t+3

Q: Find the derivative of the funcion. y=x-17 +63x+6

A: y = x3-17x2+63x+6 y'=dydx=ddxx3-17x2+63x+6 Here we are gonna use the formula  ddxxn=nxn-1

Q: Find f' (æ) for f (x) = 7 ln(4 + æ²).

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Q: find f'(t) for f(x)=x/8x-8

A: We will need the quotient formula to find f'(x) Assume u and v, then find u' and v'