Suppose that the functions f and g and their derivatives with respect to X have the following values at the given values of x. Find the derivative with respect to X of the given combination at the given value of x. f (x) g (x) |f' (x) g' (x) 3 1 4 8 4 -3 3 |-5 Vf (x) + g (x), x = 3 15 2/5 O- 1 2/5 1 2/5 15 V5 5

Q: O Find the derivative for the function f(x): = 5 x

A:

Q: 16. Use the definition of the derivative to find the derivative of the function f(x) = 3/x and g(x)…

A: Given,

Q: Find the derivative of the following functions a) f(x) = 1 + x² + = 160 1x x6 I b) F(X) x4-3x+1 √x…

A:

Q: Find the derivative of the function f(x), FIRST using the Product Rule & SECOND Quotient Rule.…

A: The Product Rule:The Quotient Rule:The Chain Rule:The Power Rule:

Q: 3 (d) h (x) = 3x² – 4x2 + 2 | (e) ƒ (x) = x5 – xª + x³ – x² + x – 1 - | (f) ƒ (x) = x6+x5+x4 – a³ –…

A: Here we have to find  The derivative of the given functions d)…

Q: Consider the following functions. g(x) = x3 – x h(x) = (x3 – x)4 f(x) = 9(x3 – x)4 Find the…

A:

Q: (d) Use the following table to evaluate each derivative. I 0 1 2 f(x) 1 3 -2 g(x) f'(x) 1 2 4 -3 0.5…

A: Since you have posted multiple questions i can do first question as per our company guidelines,…

Q: f(x) = 4√x + 2x1/2 – 8x-7/8 + x2 1 23 +2

A: The given function is fx=4x+2x12-8x-78+x2-1x3+2. Find the derivative of the given function. Here we…

Q: consider the product of 3 functions w= f x g x h. Find an expression for the derivative of the…

A: Given functions are f, g , hTheir derivatives are given by f ' , g ' , h '

Q: 5. If f(x) = x², g(x) = and h(x) = √x² + 2x, determine the derivative of each composite function. a.…

A: Given: f(x)=x2,g(x)=1x′ and h(x)=x2+2x First find the composite functions and then differentiate

Q: 7 x = R¹, ƒ(x):=· + 3√x² 1-x 1+x² +ea² +1 +π².

A: The power rule of differntiation states that d dxxp=pxp-1, where p is any real number. The quotient…