4. ox x cost at cost of 3 procuct nule J cost dt + cost at [sint] + x CSLX)ま(x) = Sin x - 0 + x cos (x³) 3X²

Q: 1. Write the equation of the line tangent to f (x) =1 + e*sin(2x) when x = 0. %3D %3D

A:

Q: what is the derivative and second derivative of y= 1/x^2-x

A: y=1x2-x

Q: ind the second derivative in its simplified form 1. y= Arctan x / 3- (square root of 9-x^2)

A: 1. y=tan-1x3-9-x2 Differentiate with respect to x…

Q: If x = t^2 + 1 and y = t^3, then the second derivative is? (Show your complete solution). a. 3/(4t)…

A: Given that,   x=t2+1 and y=t3

Q: Find the derivative of y=6√s^4+7 (Whole equation under the square root besides the first 6)…

A:

Q: What is the derivative of y=e^x?

A: The derivative of a function y=f(x) gives the rate of change of that function with respect to x.…

Q: Why is the derivative of f(x) = e^2, 0? Would e to any power be 0?

A: Given f(x)=e2As the given function is in terms of x and the given function e2 is a constant

Q: Find the third derivative of the function f(x)=8x^7/2. Simplify so there are no negative or…

A: Given query is to find the derivative if the expression.

Q: Dp

A:

Q: Use implicit differentiation and solve for dy/dx if 6x+(x^3)y+3y^2=10.

A: The technique of implicit differentiation allows us to find the derivative of y with respect to x…

Q: Find the third derivative of g(t) = t^2(2t+5)^4

A: Given that: The equation g ( t ) = t2 2t + 54 .

Q: del ateb ea ezt = e^(cob te Sinb) %3D e atcb e Note %3D e

A: Some of the properties of derivative ddx(f(x)+g(x))=ddx(f(x))+ddx(g(x)) ddx(sin x)=cosx…

Q: Find the derivative  a. y= ln(cos^2x) b. y= e^cosx+e^-x

A:

Q: if x=t^2+1 and y=t^3, then the second derivative is?

A: x=t^2+1⇒dx /dt​=2ty=t^3⇒dy/dt = 3t^2​

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

A:

Q: What is the first-order derivative of y = x^y?

A: