1. Write down the derivative of (a) y = ex (b) y = e-342x (c) y = 2e + 4e* (d) y = 10e - 2x² + 7

Q: y = 4x° + 4x at (1, 2)

A:

Q: Find the derivative of P(x) = -8x¹/9 - 3x -7 Write your answer using negative exponents. P'(x) = =

A: Given,

Q: Find the derivative of h(x) = (3x − 2x2)(5 + 4x)

A: We first expand h(x)

Q: Find the derivative of  g(z) = 4z7-3z-7+9x

A:

Q: Find the derivative of * y=(2x +1)*(3x +1) 3х +

A:

Q: Find the second derivative of f(x) = 2x+1/x-4

A: Here, we need to find the second derivative of f(x)=2x+1x-4. So,           f''(x)=2x+1x-4''…

Q: f(x)=7x8−8x+3 Find the derivative of each of the given functions.

A: The sum rule of the differentiation states that, ddxf+g=ddxf+ddxg the power rule of the…

Q: I. Find the second derivative 3. y = (x +8) (6x-1)

A:

Q: Find the second derivative. f(x) = 5x10 - 19x5 – 11x3 + 2 f"(x) =

A:

Q: y = (x² + 1 ) ( x + 5 + ) Find the first derivatives of

A: To find the derivative of y

Q: Find the derivative of * T (x) = Va + 9 Væ? 2.

A: Given T(x)=x+9x73-2x25…

Q: 4) Find the derivative of f(x) = (5x² - 3)² in two different ways.

A:

Q: 3. Find the second derivative of y= xlnx

A:

Q: 4х + 1 f(x) = 2 – 5x2

A:

Q: f(x) = √x2−2​ ; x = 2 what is its derivative?

A:

Q: Find the first derivative of the function * 4 f (x) = Væ + 4

A:

Q: 1. Find the derivative of (a + 3x + 8) (3x' - 7x + 2).

A: The given function is x2+3x+83x4-7x+2

Q: Find the second derivative of f (x) = 3e5x− 8e-6x

A: Given ,  f (x) = 3e5x-8e-6x we have to find the second derivative of the given function.

Q: What is the derivative of f (x) = 6x¯² + 8x³ + 11x + 10 + e"?

A: Given that: f(x)=6x-2+8x3+11x+10+ex

Q: Y=0.83x +0.0094x2 +0.000042x3 Take out derivative of the given function.

A:

Q: Find the derivative of y = ln(6x² – 7x). y =

A: To find the derivative of the following function.

Q: Find the derivative. y = e2= . 8x3 24x?e2 + 16x4e2« – 1 O 2e2a . 24x? 24x e2 + 16x³e2* O 2xe2a…

A: We will find the derivative using Chain rule.