Use the chain rule to find the derivative of 2e9z7 Use e^x for e".

Q: Compute the derivative using derivative rules. y = (2e3x + 3e-2x)4

A: Solution:Given     y = (2e3x + 3e-2x)4 Formula:ddx(xn)=nxn-1ddx(eax)=a eax

Q: find the derivative of - (z+j)?

A:

Q: Compute the derivative of the function y=arcsin1√x at x=2.

A:

Q: find the derivative of tihe unction?

A:

Q: Find the second order derivative if  y = xx

A:

Q: Compute the derivative using derivative rules. y = 4e -x + 7e -2x

A: Given:     To determine: derivative of the given function

Q: find the derivative of y with respect to the givenindependent variable.

A:

Q: (x²+1)* V1-x y = In

A: Use the chan rule of derivative then simplify the result.

Q: What is the derivative of y = (inverse tangent(3x))^2 ?

A: We will differentiate the given function with respect to X and use chain rule while differentiating.

Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = ex−12

A: Given function is y=ex-12. To find the derivative of the given function. Solution: Chain rule of…

Q: Find the derivative of the function without using the Quotient Rule. y

A:

Q: Find the derivative of: 3 sin (– 3x). Hint: sin (x) = [sin(x)]"...so use the chain rule (twice!).

A:

Q: In y=e³ sinx

A:

Q: Find the derivative of the functions. y=cosh^-1 (3x)

A: We have to find derivative of the function: y=cosh-13x Rewriting the function, y=cosh-13xcosh y=3x…

Q: Find the derivative using the product rule. y = eX In x

A: y=exlnx

Q: Find the derivative of: y? – 4x = 0 at point (4,4)

A:

Q: Evaluate the 2nd derivative at the given point.

A: We differentiate both sides with respect to x. Then we plug the given point.

Q: Find the derivative of the function without using the Quotient Rule. y =

A:

Q: Compute the derivative using derivative rules that have been introduced so far y = ex-12

A: To differentiate y=ex-12, with respect to x, apply the exponential rule of differentiation,…

Q: what is the first derivative of arccos4x

A:

Q: 1 y = ┤㈑┤慈┤

A:

Q: 10. y = Jx

A: We have to find derivative of - y=f(x)=1x using delta method. Delta method to find derivative is…

Q: Find derivative of y=xsin2x

A: We will need product rule. Assume, u=x and v=sin2x. Now, we have u=x ⇒u'=dudx=dxdx=1  and v=sin2x…

Q: sinx (b) у %3D V1+cosx

A:

Q: Estimate the derivative of f(x) = sinx at x = π/6

A: Since,it is known that the derivative of the function with any variable measures the rate of change…

Q: Determine the derivative of y. アミeV10x+5

A:

Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = ex−12

A:

Q: Find the derivative OF the exponential funchion y = In ( 5- e **) Please simplify it Further.

A: Consider the provided equation, y=ln5-e4x Find the derivative of the equation. Apply the chain rule…

Q: Use Leibnitz's Theorem to calculate the 4th derivative of y = x^sin (3x)

A:

Q: Find the derivative of y = etanx

A:

Q: (a) h(x) = tan(r'sinx

A:

Q: Find the anti-derivative of

A: Answer and explanation is given below

Q: What is the derivative of y = sinx x³ ?

A: Given that,   y=sin xx3

Q: Find the most general anti-derivative

A:

Q: Find the derivative using the long method 3-t to

A:

Q: 7. y = Vx + 2

A: Using Delta method differentiate y. And using rationalising.  Follow step 2nd  .

Q: Determine the derivative of y. y = eV14x+6 %3D

A: Please refer the attached image for complete solution.

Q: Find the derivative of: - 4 sin (4a*). - Hint: sin“(x) sin(x)]...so use the chain rule (twice!).

A:

Q: Find the derivative of: – 7 sin (2x°). - Hint: sin? (æ) = [sin(x)]"...so ...so use the chain rule…

A: Solving by chain rule

Q: Use Leibnitz's Theorem to calculate the 4th derivative of y = x+sin(4x)

A:

Q: Use Delta method to find the derivative of e*

A:

Q: Find the 1st derivative of y= Arcsin x -v -V1-x²

A: To find the first derivative of y = sin-1x - 1-x2 sin y =x - 1-x2

Q: Obtain the derivative of the function y (ctg(5x))} y =- - sen? (5x) + 1

A:

Q: Find the fifth derivative using product rule y = sin3xcos4x Where r is the last digit of your…

A: The fifth derivative of the given function can be found by differentiating the given function five…

Q: What is the 2nd derivative of y=cosh(x+y)?

A:

Q: * Use the chain rule to find the derivative of

A: Given,        w = xy Here,         x=tan(t),   y=csc(t)

Q: s(w) = In( w - %3D

A:

Q: Find the derivative of using first principle?

A: we have to find first derivative of y by using first princple

Q: r(x)= cos (3x)

A: