The derivative of the function f (x) is represented by f (x, isf"(x) = A. D. B. E. C.

Q: Find the derivative of the function.

A: Given: To find: Derivative

Q: Find the derivative of the function f(x) = (In x)°.

A: Given that,             f(x) = lnx3 Differentiating with respect to x, we get                  f'(x)…

Q: What is the derivative of the function f(x) = 2x + 3 at the number x = 4?

A:

Q: Find the derivative of the function.

A: Given function is By using the properties of logarithm, ln(a/b)=ln(a)-ln(b) and ln(a^b)=bln(a), we…

Q: Find the derivative of the function. f(x) = (9x2 – x) In(x) f'(x) =

A:

Q: Find the derivative of the function. f(x) = ex In(x³) f'(x) = X

A:

Q: Find the Derivative of f(x)= tan(- -3

A: We have to find the derivative of function: fx=tan x3x2-3 We know the formula of derivatives, d tan…

Q: Find the derivative of y with respect to x if y = (11x2 - 22x+ 22) ex.

A:

Q: What is the derivative of the function f(x)=1/x+1 at x=1?

A: To find out the derivative of the function at x=1

Q: Calculate the derivative of f(x)=4x³ with respect to x and evaluate this derivative at x=2.

A:

Q: Find the derivative of the function. 5 F(x) 1 + 4x + x3 F'(x) :

A:

Q: 7) f(x) = 3e In x %3D

A:

Q: Find the derivative of the function x +5 g(x) = 2, X +6x

A: Given function is, g(x)=x2+5x2+6x  Quotient rule of derivatives is, If f(x) and k(x) are functions…

Q: Here is the graph of the second derivative of a function g(x). g"(x) Where does g(x) have a point of…

A: Inflection point is at that x value where the double derivative of the function is 0.

Q: Find the derivative of the function. f(x) = 2x In(x) f'(x) =

A: Let us consider the given function as: fx=2xlnx By using product Rule of derivative, we get:…

Q: find the derivative of f (x) at the designated value of x. f (x) = x3 at x = 12

A: The derivative of a function can be calculated by differentiating both sides of the function with…

Q: 2. f(x) = x2– 5x + 6 at x 2 --

A:

Q: What is the derivative of the function with respect to x of (x + 1)³ – æ° -

A: Given : Function x+13 - x3   To find : Derivative of the given function with respect to x?

Q: Find the derivative of function (x+2)² (x – 1)3* f(x) -

A: f(x) = x+22x-13f'(x) = x-13×2x-2-x+223(x-1)2x-16f'(x) = x-12x+22x-1-3x+2x-14f'(x) = x+22x-2-3x-6x-14

Q: Find the derivative of the function. x + 6 X-6 y' = y = In

A: I have appended the formula used in the solution part of the question.

Q: Find the derivative of the function. f(x) = In(x + V2 + x²) f '(x) =

A:

Q: Find the derivative of f(x)= xtan(x)

A:

Q: Suppose that the second derivative of the function y = f(x) is y" = x*(x = 2)°(x + 3). For what…

A: Given: The second derivative of the function y=f(x) is y"=x2(x-2)3(x+3) Definition: The inflection…

Q: find the derivative of f (x) at the designated value of x. f (x) = 1/x at x = 2/3

A: Given: f(x)=1x To find the derivative at x=23

Q: Find the derivative of the function. f(x) =  ex x4

A: given:

Q: Where does the derivative of g(x)=(x^2)/((x^2)+3) = 0 or is undefined?

A: Given function, gx=x2x2+3

Q: Find the derivative of f(x) = 6* – 3* + In x -

A: Differentiate: fx=6x-3x+lnx

Q: Find the derivative of the function f(x)= xsinx+x^2e^2-1.

A:

Q: Determine the value of X on which the derivative of the function Y = | 3x² + 4x + 1] does not exist.

A:

Q: find the derivative of the function f(x)=x^3+2x at -3

A: find the derivative of the function f(x)

Q: What is the first derivative of f(x) = √√x² + 2x − 1?

A: Given the function,    fx=x2+2x-1

Q: Find the derivative of the function f(x) v4-x by definition

A:

Q: Find the derivative of the function ° (2x + 1) f(x) = In x2 – 3 -

A:

Q: o f(x) = 4~/x+3

A: by using definition of a derivative.

Q: If f(x)=4sinx-x^3, what is the second derivative of f?

A:

Q: Find the derivative of the function. f(x) = In x+ 2 f'(x) =

A: We have to find the derivative of the given function.

Q: Determine the value of X on which the derivative of the function y 3x2 + 4x + 1| does not exist.

A: Giveny=|3x2+4x+1|y=|3x2+3x+x+1|y=|3x(x+1)+x+1|y=|(3x+1)(x+1)|Using modulus propertyy=|3x+1||x+1|

Q: Find the derivative of the function.

A:

Q: If fox) is odd function , then the derivative of y =coshf(-x)) equals

A: here option B is true

Q: What is the derivative of (x^2+1)^x?

A: Use the lograthim to find the derivative of given expression.

Q: Find the derivative of f(x)=sec(x)

A:

Q: Find the derivative of the function. x + 4 f(x) = In X – 4 | f'(x) =

A:

Q: By using the definition of the derivative find to f'(x) 3. 3x

A: our objective is find the derivative

Q: If the function of x, ƒ(x) = · then, the derivative of f(x) is:

A: We will find the derivative of f(x) as following

Q: What is the derivative of the function B(x)=3/(x+2) at x=a?

A:

Q: calculate the derivative with respect to x. 3y3 + x2 = 5

A:

Q: Suppose that the second derivative of the function y = ƒ(x) is y'' = x2(x - 2)3(x + 3). For what…

A: Given that, y=f(x) Second Derivative is y'' = x2(x - 2)3(x + 3). As we know that, Inflection point…

Q: Find the derivative of the function. h(x) = ets. - x + 1

A: Differentiate w.r.t x

Q: 2 Use the definition of derivative to find the equation of line tangent to f(x) = 2 through x = 3.

A: