Pls do fast within 5 minutes and i will give like for sure Solution must be in typed form consider that f and g are differential functions, with h(x) = f(g(x)). Suppose that the slope of the tangent line to the function g at the point (2,5) is 3, and that the slope of the tangent line to the function f at the point (5, -1) is 6. Determine the slope of the tangent line to the function h at x= 2

Q: Question: Find the derivative. y = (2x – 5) (-a + 4) 1. Select one: O y' = 3(4 – z) 2 O y' = 3(4 –…

A: Topic = Derivative

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A: We will find the derivative using chain rule.

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Q: Find y' implicitly for 6x° – y' = 3.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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Q: 3. f(t) = -2t2 + 3t – 6 6. h(s) = s4/5 1 +1 9. h(t) = 1* + 21 + 2

A: To find the derivative of f(t)=-2t2+3t-6, use the power rule of differentiation, ddttn=ntn-1.

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Q: Write down a formula for ∂z/∂y if z is defined implicitly as a function of x and y by the equation…

A: The given equation is yz=e3x+z.

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A: Given that: g(x)=(3-x2)(x3-x+1)

Q: 24// Find first and second derivatives of the function (3xy + 7)2 = 6y.

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Q: Find y\\ for each of the following functions: 1- f(x)=sin(xe). 2- f(y) = sin (3y)+ e-2y + In (7y)

A: d(u v) = u dv +v du

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A: Consider the provided D.E,

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Q: (4) (3) (4) e. y = 4x³ (2x + 7) 4 f. y = 1 5√√(3-15x)³ g. s = 8cos (4t2 +9) ...determine s' s'(2)

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Q: The curve y = ax + bx + c passes through the point (1,8) and is tangent to the line y = 5x at the…

A: Given that: y=ax2+bx+c passes through (1, 8) and tangent to line y=5x at origin.