- Show that the function f(x) = secx.cscx odd or even

Q: Let f(x)=x2 - 3 Use the definition of the derivative to find f1 and f11 Write answer in form of…

A:

Q: Determine the derivative of each function using the limit definition. 1. Y = 2 – 7x - 2 = 4 – 5x –…

A: f'(x) = limh→0 f(x+h)-f(x)h.

Q: Let f(x) = x2 – 2.x. Use the definition of the derivative to calculate f'(3) %3D -

A:

Q: Use the definition of the derivative to find f' (x) for f (x) = v2x + 1.

A: The derivative of f(x)=2x+1 is to be found using the definition of derivative. The derivative of…

Q: use the definition of derivative to find f prime (x). f(x)= 3(2x-1)^3

A: Given function is fx=32x-13. To find the derivative of the function using definition of derivative.…

Q: Use the formal definition of the derivative to find f'(x) is f(x)=x²-4x

A: See the details solution in below

Q: Use the limit definition of the derivative to find f'(x) for f(x) = x2 +5 x + 3.

A: the solution is given below

Q: Use the definition of derivative to find f'(x) for f(x) = ax² + 10. f(x+h)– f(x) | f'(x) = lim h0 h

A:

Q: Find the points of discontinuity of the function f(x)=arctan1x if they exist.

A: The given function is not defined at x = 0. Now the left hand limit at x = 0 is, And the right hand…

Q: Use the first derivative test and the second derivative test to determine where each function is…

A: The given function y=3x+4 Differentiate with respect to x f'(x)=323x+4 f'(x) is not defined at…

Q: Suppose the derivative of a function  f isf'(x) = (x+ 1) 2 (x -3)5 (x -6)4. On what interval f  is…

A: f(x) will be increasing if f'(x)>0    We first find the zeros of f'(x) They are x=-1 , 3, 6

Q: Let f(x)= 3x^2+x-5. Using the definition of the derivative, find f’(x).

A:

Q: Use the limit definition of a derivative to find f'(x). Show all steps. f(x)=1/(x+3)

A:

Q: 5. Use the definition of derivatives to find f'(2) given that f(x) = 2x² -r+1

A: According to our company guidelines we are supposed to answer only one question since you have asked…

Q: At what points is the function is continuous y=|2x-1| +4sin(2x)

A:

Q: Suppose the derivative of a function f is f'(x) = (x + 2)ª(x – 3)³(x – 4)6. on what interval is f…

A: f'(x) > 0  For increasing.

Q: Suppose that flx) is a differentiable function and g(x)=(x+2)/f(x). If f(0)= 22 and f(0)=5, then…

A:

Q: Find a function f such that  f '(x) = 5x3  and the line  135x + y = 0  is tangent to the graph of…

A: Consider the given derivative function f'x=5x3

Q: Use the definition of the derivative to compute f'(x) given -4 fCx) f(x)= 3x-1

A:

Q: Find the derivative of the function f(x) = 3x2- 13x 25 by definition of derivatives f(x + h) - f(x)…

A: The differentiation is a process of finding the rate of change of one variable with respect to…

Q: At what points are the functions continuous? x + 3 f(x) 2 - et

A: The given function is fx=x+32-ex

Q: 1 . Use the definition of the derivative to compute f'(x) if f(x)

A: We use the limit definition of f'(x)

Q: 3a. Use the limit definition of derivative to calculate f'(x) where. f(x)= 2x2 +x-1.

A:

Q: 3 Use the definition of derivative to find f'(x) for f(x): II

A: Given:

Q: Find the derivative. F'(x) if F(x)= (ex² -3) ² F'(x)=

A: ddxex7-32

Q: Let f(x) = }x² – x³. Find the value(s) of x if the second derivative f" (x) equals zero.

A: Use the formula, ddx(xn)=nxn-1 to calculate the derivative. Differentiate f(x) with respect to x to…

Q: . Give a function f (x) which tends to 0 as x tends to infinity.

A: We have to find a function which tends to 0 as x tends to infinity.

Q: Use the formula  to find the derivative of the function

A: Givenf(x)=1x+2To find f'(x)

Q: Let f(x)=9−(4x^2+3x). Then according to the definition of derivative

A:

Q: Use the definition of the derivative to find f(x) if f(x)= x/(5x+2).

A:

Q: Determine f ″ ( x ) for f(x) = sec x

A: Given function: fx=secx

Q: Describe the domain of the function f(x, y) = ln(4 x - Y).

A: as per guideline i am answering one question .please give a like !

Q: Let f(x) = 4x² +. Use the definition of the derivative to find f'(1). %3D

A: To find the derivative of f(x) at x=1 using the derivative definition.

Q: Let f(x) = 4x² + . Use the definition of the derivative to find f'(1). %3D

A: We can make it easier for you

Q: use the definition of the derivative to compute f'(x) given f(x) 3x+2

A:

Q: Use the definition of derivative to find = f'(x). f(x) = for 1 3x

A: Given f(x)=13xf'(x)=limh→0f(x+h)-f(x)h=limh→0(13(x+h))-13xh=limh→013x+3h-13xh

Q: 7. Give two reasons why a function might not be differentiable at a particular value of x.

A: topic -derivative

Q: Let f(x) = V5x + 2. Find the derivative f'(x) using the limit definition.

A: We have to find derivative

Q: For what value of the constant c is the function f continuous on (-∞, 0)? if x 5 C = Need Help?…

A:

Q: Let f(x) = x-3 Use the definition of derivative to find f'(x). %3D 2C

A: Given : fx = xx-3

Q: 4. If f(x) = sin x, show that f(2.x) = 2f(x)f(-x) %3D

A:

Q: Find the derivative of the function f(x) = 8x² – 14x by the definition of derivatives f(x+h)-f(x)…

A: Given function: fx=8x2-14x

Q: If f is even and differentiable function, the x = 0 is a critcal number of f. True or False

A: Known fact: For even differentiable function, 0 is a critical number.

Q: Find f''(x) for f(x)=(tan(2pix))^3

A: From the given data:

Q: Suppose the derivative of a function f is f '(x) = (x + 1)2(x − 2)7(x − 3)4. On what interval is f…

A:

Q: Suppose f(x) = x^2−3x−5. Using the definition of derivative, compute f'(3).

A: Consider the given function: Here the objective is to find the derivative of the given function…

Q: 3. If f(x) = 2x² + 3x find f'(a) by using definition of derivative at a point a=4

A:

Q: Q4: Use the limit definition to compute the derivative, f'(x), for 2 1.F(x) = x3 2.F(x) = Vx³ – x

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.