The derivative of the function f is defined by f'(x) = x² sin (2x). If ƒ(3) = 7, then use a calculator to find the value of f(-3) to the nearest thousandth.

Q: Consider the function f(x) whose second derivative is f”(x)=5x+2sin(x). If f(0)=4 and f’(0)=4, what…

A:

Q: x) = (5 + 2 sin x)²

A:

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

A:

Q: Consider the function f(x)  whose second derivative is f"(x) = 10x+4sin(x) . If f(0)=2  and f'(0)=3…

A:

Q: Find the derivative of the function given below. f (x) =9e* ex

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

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. f(x) = sin(x) cos(5 – x²) f'(x) =

A:

Q: What is the second derivative of f(x)=6x^4 at the point x=−2?

A:

Q: The derivative of f(x) = 5x – Vx + (sin)x – e² -

A: Given; f(x)=5x4-x1/3+[sin(π/2)]x-e2

Q: Find the derivative of the function. f(x) = 4 3 VX + 2cos x

A: Here, the given function is: f(x)=4x3+2cos x

Q: Find the derivative with respect to the independent variable. f(x) = cos (- 23x) f'(x) =

A:

Q: Find the derivative with respect to the independent variable. f(x) = tan (14x) f'(x) =O

A:

Q: Find the second derivative for the functions defined as follows .p(x) = sin(x2)

A: We have to find second derivative of the function: px=sinx2 We know the formula of differentiation,…

Q: Find the derivative of f (x) = 9x − 5 at x = 2 and x = 5.

A: The derivative of a function f(x)  at a point a  can be calculated by applying the value a   to the…

Q: Find the derivative of f(x)=[sin(3x)]^3

A:

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 the function. f(x) = 6√x + 5 cos x

A: To find the derivative of the given function f(x).

Q: Find the First Derivative of the Given Function: 2.) x=sec53t

A:

Q: Find the derivative of the function f(x) = 7x sin(4x).

A:

Q: Find the derivative of the function. y = x/2 − sin 2x/4

A: Given function is y=x2-sin2x4 We have to find derivative of given function. Differentiating the…

Q: Consider the function f(x) whose second derivative is f''(x)=4x+3sin(x)   If f(0)=3  and f'(0)=2…

A: detailed solution with explanation is given below

Q: Use the fact that the derivative of the function ​f(x)=4/x is f"(x)=-4/x2 to find the equation of…

A:

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: Given, f'(x)= sec22x; π2, 0

Q: 3/x +1 f(x) = X+2 at x = -1

A:

Q: The derivative of the function f is defined by f'(x) = x² sin (2x – 1). If f(4) = –1, then use a…

A: we have to find the value of given function at the given point. the solution of this problem is in…

Q: Suppose x and y are variable (y is a function of x) that satisfy the equation Sin(x+y)=xy, What is…

A: To find the derivative of y with respect to x

Q: Find the derivative of the function. y = [x + (x + sin2(x))7]³

A:

Q: Find the derivative of the functiony=tan^2(6x)

A: we have to find derivative of f(x)we will use following rules

Q: Find the second derivative of the function f(x) = sin (2x4)

A: This question is related to differentiation, We will solve it using given information.

Q: r (4x2 – 3x + 5)* - 3.) c(x) = %3D sin x

A: solution:- find the derivative by using the quotient rule

Q: By using the definition of the derivative find to f "(x) 3x3 +1 1 Ve +1 x +1

A: 1. We solve first order derivative of f(x)

Q: Consider the function f(x) whose second derivative is f''(x)=8x+10sin(x). If f(0)=3 and f'(0)=2 what…

A: The function is f"x=8x+10sinx.   Integrate the function.…

Q: Find the second derivative of the function. f(x) = sin(9x?) f "(x)

A:

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

A:

Q: Find the derivative of the function In(4x+10) f(x) = x* sin(9x + 12) +

A:

Q: Find the derivative of the function.

A:

Q: Consider the function f(x) whose second derivative is f''(x)=2x+3sin(x). If f(0)=2 and f'(0)=4, what…

A:

Q: 8x+9 In(, x3 dx

A: Here we will sove derivative of given function,

Q: f(x) = 3 sin 1 (x²)

A:

Q: Find the first derivative given that f(x) 5x V2r+3

A:

Q: Find the derivative of the function f by using the rules of differentiation. 4x2 + x 4 + f(x) f'(x)…

A:

Q: Use the rule of differentiation to find the derivative of the given functions 1. y = (4x - 1)5

A: Questions basically from differentiation.  Note-As per our guidelines we are supposed to answer only…

Q: find the derivative of the given function. f(x)= 3x2- sin(x)/x

A: Given

Q: What is the derivative of f( x = zi; = x 3 ? Or(-) = 3 F(=) f'( x Of(2) = 3= F(=) OF(2) = }ei OF(-)…

A: To find the derivative of f(x)=x2/3

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

A:

Q: Find the derivative of the following function, where x is already declared as a symbolic variable: f…

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

Q: Consider the function f(x) whose second derivative is f''(x)=2x+7sin(x). If f(0)=3 and f'(0)=3, what…

A: to find f'(x) integrate the given function c=integrating constant. Then plug x=0 and f'(0)=3 and…

Q: Consider the function f(x) whose second derivative is f''(x)=8x+8sin(x). If f(0)=4 and f'(0)=4, what…

A: