Compute f dx, where f(x)= |x|

Q: Show that is C is a function of x with derivative C'=C/x and N=C/x, the d/dx (C/x)=(C'-B)/x

A:

Q: ind the derivative of the function f(z) = (2r+7) 71+11 %3|

A:

Q: Compute the derivative of F(x) if F(x) = 9t dt F'(x) =

A: To find the derivative of integral, one have to use the fundamental law of calculus and substitute…

Q: Compute the second order derivative f"(x) for f(x) = 3x* -/x. %3D 36x2- 4x2 Ob.36x2 + 3/2 3/2 1 OC.…

A:

Q: f(x) = xe (1+e*)

A:

Q: Find the derivative of F(x) = f (t³ - t) ³ dt. O 5 (t³-t) (3t²-1) ○ (x³ - x) 5 ○ 5 (2³-x) 4 O 3t² -…

A:

Q: F(x) = f Cos t dt

A:

Q: Find the first and second derivative of the function. G(r) = Vr + Vr 1 + 1 G'(r) = 3x G"(r) =

A:

Q: Find the derivative of the function. x² F(x) e dt %3D F'(x) =

A: The fundamental theorem of Calculus says: If F(x)=∫h(x)g(x)f(t)dt⇒F'(x)=f(g)g'-f(h)h' Here,…

Q: If f' is the derivative of f with | f'(x) dx = 10 and f(2) = 4, then f(1) :

A:

Q: 2. Compute the second derivative, f"(x), of the function f(x) = e*. %3D

A:

Q: What is the millionth derivative of f(x) = e x ?

A: ex

Q: Evaluate the function: dx (x+1)–Vx+1

A:

Q: Use the second derivative test to find the local extrema for the function f(x,y) = x² +y³ + 2xy – 3x…

A:

Q: Compute f dx, where f(x)=|x|.

A:

Q: Consider the function f(x) = (x² – 6)(a² – 6æ) Compute the derivative. f'(x) =

A: In this we are going to use product rule of derivative to find out the solution so I'm providing…

Q: The function f(x) = 1 + x decreases to 1 as x- 0. Does f(x) dx exist?

A: Given function is f(x)=1+x-1f(x)=1+1x Given integral is evaluated as follows.…

Q: Find the derivative of f(x) = x"'log,(r + 3). f()=

A: The given function is: f(x)=x8log2(x+3)       =x8ln (x+3)ln 2(used change of base in logerithm)…

Q: (b) Find and simplify the derivative of the function pln(z) e dt. f(x) = |

A: we need to find the derivative of given definite integral

Q: Use the second derivative test to find the local extrema of the function f(x, y) = x+ 2xy – 6x –…

A: Step 1: Find the partial derivativesfx and fy and put both equal to zero and we getcritical points…

Q: Compute the derivatives: d/dx [ f (x)g (x)]

A: Derivative of function of type uv is given by, duvdx=v.dudx+u.dvdx

Q: Find the first and second derivatives :- f (r) = pr2

A: The given function is fr=pr2

Q: Suppose / (x) = /e*, Evaluate: /f(x) dx

A: Givenf(x)=ex

Q: 3e* Find the first derivative: f(x) = x (x+1)

A:

Q: Evaluate the function: dx ¤(1+x?)

A:

Q: Suppose f(x) = In(x³ + 5x + 7). df Find the derivative dx f' (x) =

A:

Q: Compute the derivative function f' (x) algebraically. f (x) = –x² – 2x O f' (x) = 2x – 2 O f' (x) =…

A: Derivative of xn= nxn-1

Q: Let f(x) = derivative f'(x) equals o. e. Find the value of x for which the second

A: Given that: f(x)=32x2-ex

Q: Find dy/dx for f(x)=(Inx)x^2

A: Given:y=fx=lnxx2We need to find: dydx

Q: Evaluate the function: S de x(x-2) -dx (x–1)³

A:

Q: Find the derivative of the function. F(x) = In(4 – x®) %3D f'(x) %D

A:

Q: Let f(x,y) = x³y? The third derivative fexy

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: Find the derivative of the functions below: Rw) = x In(e f'(x) = a) f(x) = In(3x) f'(x) = b).

A:

Q: Find the derivative of the function. F(x) e dt F'(x) =

A:

Q: Find the derivative of the function. 4 f(x) x In(x) f'(x) %D

A:

Q: Evaluate the derivative of the function: x2 f(x) = ( x²+1 8x (æ²+1)° O 8a(a² –1) (2²+1) O 1 4x…

A: Use the chain rule for finding the derivative

Q: Find the derivative of the function. f(x) = e!/(9x) f'(x) = %3D

A:

Q: Find f(2x)dx if f(x)dx = 1. Enter the exact answer. f(2x)dx

A:

Q: Consider the function f(z) = V1+z -1 and find its derivative:

A:

Q: The function f(x)=|x|·sin(x) is differentiable at x=0.

A:

Q: Find the derivative of the function. F(x) = dt F'(x) =

A:

Q: Find the derivative of x 1 f(x) = = 1₁² 1₁ ²² 16 dt S 1+t6 4 f'(x) =

A:

Q: Compute the indicated derivative. d + x)(x5 – x)]. dx x = 1

A:

Q: Find the derivatives w.r.t x. f(x)=ln(x/x²+1)

A:

Q: Evaluate using Theorem - f(x) dx f(x) dx + | f(x)dx = |1 – e*|dr

A: Here The Given function is  f(x)=1-exand we have to evaluate∫-221-exdx

Q: Compute the derivative function f' (x) algebraically. f (x) = -5x3 +7 O f' (x) = -15x O f' (x) =…

A:

Q: Find the derivative F'(x) F(x) = (t? - 2t + 3)dt 1. -t2 +3t +c 3 О x2-2х +3 O x2 - 2x +5

A:

Q: Show that, for a function f(x) with anti-derivative F(x), d s)ds f(x). %3D dx a

A: Suppose f(x) has an anti-derivate F(x), v(x) and u(x) are differentiable, then Leibniz's rule of…

Q: Find ☆ f'(x) using using derivative rules. f(x) =Dx+ 2 to 11

A:

Q: Compute d/dx f(g(x)) where f(x) = 1/x + x^2 and g(x) = 1 − x^4

A: