Find the derivative of g(x) = |. •r In z Vt2 +t+1 dt

Q: Find the derivative of h(x) = | 14 arctan(t) dt. h'(x) = ||

A:

Q: Compute the derivative of the function F (x) = L evi dt.

A:

Q: 2) Compute the approximate derivatives of In x I+ x2 fCx) at x-2, using three- endpoint formula…

A:

Q: Solve the first derivative of f(x) = e-2x In x at x 0.5 using forward finite-divided difference and…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Calculate the derivative e12x d In (t)dt dx using Part 2 of the Fundamental Theorem of Calculus.

A:

Q: F(x) = f Cos t dt

A:

Q: Find the derivative of the function #1) F(x) = In(2x+3)· (4x +7) tan(x) t +4 dt t2 +2 # 2) h(x)= |

A:

Q: Find the partial derivative of the given In[y? sec(x²y²)].

A:

Q: Compute the derivative: 3 | Vsin t dt dx

A: To find ddx∫x3sin t dt We know that, ddx∫u(x)v(x)f(t) dt = f(v(x))v'(x)-f(u(x))u'(x) Then, we have,…

Q: Find the derivative of F(x) = 4 sin(t) dt. 3x2 dx Jcos(x)

A: Given that,

Q: Find the derivative of the function. rcos(x) y = In(1+2t)dt sin(x)

A: Applying Leibniz rule

Q: Can you help me with this problem step by step?

A: To determine the derivative of given function.

Q: Find the derivative of the function. 1 3x' g(x) = dt 1 + t4 Jtan x

A: Given : g(x) = ∫tanx3x211+t4dt

Q: Find the derivative of F(x) = 4 sin(t) dt. 3x %3D dx cos(x)

A: Solve the following

Q: Find partial derivative of dx for the function f(x.y) given below exp 2x. siny .(at the point (In2,…

A:

Q: · F(x) = 5* (S₁²¹6 (√₁+ u²) du) dt

A:

Q: Find the derivative. (Hint: en a = x) %3D y =S 4 In x et dt O * - 1 4x3

A:

Q: Can you help me with this problem step by step?

A: The given equation,

Q: Compute the indicated derivative using the chain rule. X = 4 + 3t, y = -7t; Oy

A:

Q: Compute the derivative of g(x) = cos(t) dt-

A:

Q: Find the derivative of the function y = In(3t + 4). %3D dy dt

A:

Q: In(x), Sn (4t + et) dt. Find the derivative of F(x). 3.

A:

Q: What is the derivative of * In(xy) = e"y – arccos(xy)?

A: We differentiate given equation

Q: d rcos t sin(x²) dx dt

A:

Q: Calculate the derivative 12x d dx In (t)dt using Part 2 of the Fundamental Theorem of Calculus.

A: follow next step

Q: Find the derivative of F(x) = 4 n sin(t) dt. %3D dx 3x² cos(x)

A: Integral calculus is one of the two main parts of calculus that is concerned with the study of…

Q: Find the first-order partial derivative with respect to x of f(x,y) = e5x siny.

A: To find the first-order partial derivative with respect to x, given function, fx,y=e5x sin y

Q: Find the derivative of the function F(x) sin 3t cos 2t dt.

A:

Q: F(x) = "(5t - 1) dt %3D

A: We need to find the first derivative of F(x)=∫x2x(5t-1)dt. By Leibniz's integral rule,…

Q: 3. Calculate the derivative of f(x) = tan(4t) dt. %3D -1/16

A:

Q: 2. Show that the function psin(2r) e-*dt g(x) = is differentiable on R and compute its derivative.

A:

Q: 4. F(x) = (1-t) dt

A: To find the first derivative

Q: Find the slope of the tangent line to the graph of f(x) = x· 2e*cos-1t dt at x = 1 Jln x

A:

Q: Find the derivative of F(x)

A: To Determine: find the derivative of F(x) Given: we have Fx=∫2x3costdt Explanation: we have a…

Q: Compute the derivative of g(x) = cos(t²) dt. O 42 sin(z*) O cos(x*) -42 sin(z*) O 4a cos(a) O -…

A:

Q: 1. Find the derivative of the function:F(x)= [ (Vt arctan t)dt .

A:

Q: Find Zxx=Zyy=Zxy=

A:

Q: Calculate the second-order partial derivative of f(x.v) =sin(x³v?) with respect to x and y, that is,…

A:

Q: Find the derivative of g(x) = fecost dt.

A:

Q: Find the fourth derivative of f (z) = 27 + In (z) – 160z. %3D

A:

Q: Find the derivative of the function. 1 g(x) = dt Jtan(x) V2 +

A:

Q: 2 e -8; x(0) = 1 dt

A: Solution is given below:

Q: Find the derivative of the function. y = (3t – 1)(6t – 6) -1 dy dt II

A:

Q: 8. Find the derivative of y = In(3t) dt.

A: To Determine: Find the derivative of given integral:…

Q: et dt. · e2t 5. Find and simplify the derivative of f(x) = %3D 1 -2 In z

A: Assume g'(t) = e^t/(1-e^(2t))

Q: Compute the derivative of h(sin(x)) at æ = 1/6, assuming h'(0.5) 4: %3D

A: As we know that; The Chain Rule: fgx'=f'gx·g'x Let, hfx=hsinx

Q: Calculate the derivative 27 dt d da using Part 2 of the Fundamental Theorem of Calculus. d dx 27 dt…

A:

Q: Find the derivative of the given function a. F(x) = dt 1+ b. g(x) = [ - dt sinx 1+1*

A:

Q: Calculate the derivative of the function g(x)=x∫√x(t2−t)dt at x=1.

A: using the fundamental theorem of calculus we find g'(x)