The shape of f (x) = /x, but shifted two units to the left and reflected in both the x-axis and the y- axis.

Q: -What is the derivative of (x + 1)2 ? a) x? + 2 b) x c) x d) 2x+2

A: We will use chain rule of derivative

Q: Find the derivative of the function. (S h(x) = %3D 8x2 + 9

A:

Q: What is the derivative of f(x) = x² +x² a +2 where a is a constant ? xa+2

A: We write f(x) using exponents f(x)=x7+x2+a+2xa+2f(x)=x7+x2+(a+2)x-(a+2)

Q: Find the derivative of the function f(x) = V(a3 + 7x) by using the definition %3D of the derivative.

A: Let's find.

Q: Find the derivative of the function.  y = x/√(x2 + 1)

A:

Q: Find the derivative of the function.

A: Consider the provided function, ht=t2t3+22 Find the derivative of the function. Apply the chain rule…

Q: Find the derivative of the function. A y = 7tan-(x - V1 + x²) %3D (2* * I^ -

A:

Q: 25. y = V r² +1

A:

Q: Find the direction in which the function is increasing most rapidly at the point Po. f(x.y) = xy? -…

A: Given,     f(x,y)=xy2-yx2

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 11 e* +…

A:

Q: x+D メD

A: To Determine: we have a function then find the derivative Given: we have a function Z(x)=Hxx-D2+x2…

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

A: ex

Q: Calculate derivative f(a) = 13= 43 30 х %3D d 13 -30 x'3 t16e^)= %3D

A:

Q: The demand Q for butter is related to the price P by the equation Q. P1/2 = 38. Find dQ/dP by…

A: Given: The given equation is: Q·P12=38

Q: Find the derivative of the function. y = V 3 + 8e6x

A: To find the derivative of given function.

Q: Find the intersection  point of f (y) with x-axis.

A: Given the function f(y) .We need to find the point of intersection of f(y) with x-axis.

Q: Find f'(10) directly from the definition of the derivative given f(x) = vx – 1.

A: Given, f(x) =x-1  We have to find f'(10)

Q: In what direction does f(x) = 6xy - 8x increase most rapidly at (- 9, 0)? V f( – 9, 0) =

A: Given function  f(x,y) = 6xy-8x^2.

Q: 4. f(t) = " 1-et

A: Given: ft=1-ett

Q: f (x) = D윽과+1

A:

Q: Find the derivative of the function: f(x)= e^x÷x^2

A: Given,

Q: Differentiate the function y=xcosx  and y=(x+1)e2x.

A:

Q: What is the derivatives of f(x)=(x^3)/(9-X^2) and its x and y intersect?

A: a) From the given problem: fx=x39-x2Ory=x39-x2   So,   dydx=ddxx39-x2=ddxx39-x2-ddx9-x2x39-x22…

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 16 e*+…

A: Given function is fx=16ex+13x. At x=0, f0=16·e0+13·0=16 Therefore, point is 0,16 Differentiating the…

Q: Vr +3 f (x) = f'(1) I – 4

A: To evaluate: f'(1) Given: f(x)=x+3x−4 We know that quotient rule of differentiation states that…

Q: For the demand equation, use implicit differentiation to find  dp/dx. 17p2 + 5p + 6 = x

A: Given:

Q: Find the derivative of the function. f(x) = ex2 + 2 %3D f'(x)

A:

Q: The value of the second derivative of y = f(x) at its point of inflection is A. 1 B. 0 C. -1 D. 2

A: An point of inflection, is a point on a curve where the curve crosses its tangent at that point.

Q: For what value of x will the curve y = x3 - 3x2 + 4 be concave upward?

A:

Q: Find dydx, where y is defined as a function of x implicitly by the equation below. y3+2x2y5=1

A:

Q: V3x – y+ 6a*y? = 9y

A: Given: 3x-y3+6x4y2=9y

Q: For what x-value is the function y = |x+5| not differentiable?

A:

Q: y = -2Vx + 3 - 7

A:

Q: Explain why the functions ƒ and ƒ + C, where C is a constant, have the same derivative properties.

A: It is known that the derivative of constant function is always 0. Also, It is known that the…

Q: The derivative of y x²+1 is х2—1 =

A:

Q: Find the given flx), + 2x derivative of function. %3D a+x

A:

Q: Find the area of a triangle bounded by the y axis, the line f(x) = 6 and the line perpendicular to…

A:

Q: Find , where y is defined as a function of x implicitly by the equation below. dz' 2y5 - 2ry = -2…

A:

Q: Find an equation for the level curve of the function f(x,y) that passes through the given point.

A: The given function is,

Q: The derivative of the function y = 2* sec(x²) is:

A: I use product rule and chain rule to solve this derivative

Q: Find the second derivative of the function F(t) = 4tsin(r4).

A:

Q: Find the derivative of the function. y = x*V25 - x²

A:

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 12 e* +…

A:

Q: Find the derivative of the function. y = r / sqrt ( r2 + 1 )

A: Given function is y=rr2+1.

Q: Q3/ find the derivative La)= メ 2. logs (x+3) 2x+4

A:

Q: Find the derivative of the function. y = x(x2 + 1)

A: Given y = x(x2 + 1)

Q: Find the derivative of the function f(x) = 9r( – 5x + 6z). %3D f'(x) =

A:

Q: Find the derivative, but do not simplify your answer. y- (x² + x + o)(Vx = 2/x 1) y' =

A: Given that, y=x2+x+6x3-2x+1

Q: Find the derivative of the function.   y=3e^8t+3

A: Given function;   Taking the first derivative;