(xy ln(x + 1) ,if(x,y) + (0,0) h(x,y) = x4 + 3y2 ,if (x, y) = (0,0)

Q: f(x)=(x2+3x+7)4, then f'(x) =    f'(1) =

A: We have to find derivative

Q: If f(x) = (x² +2) e², what is f'(x)?

A:

Q: Let h(x)=f(x)g(x) where f(x)=−4x^2−5x+1, g(1)=−5, and g′(1)=−4 what is h′(1)?

A:

Q: If h(x)=√ 7 + 6f(x), where f(1)= 7 and f (1)= 2, find h(1). h'(1) = x

A: Given function Where

Q: let h(y)=(y-3y2)5(y2+2)6  h'(y) in simplified form.

A:

Q: -1² ƒ'(x) = 3x² √√x6 +1 If f(x) = √t² + 1 dt then

A:

Q: If (g(5x) = -15, then g'(x) = %3D %3D (b) 3 (a) 0 (c)- (d) –3

A:

Q: f(x) = (-x³ – 2x)e*+2 f'(x) =?

A: Given: f ( x ) = - ( x3 + 2 x ) ex+2          To Find: f' ( x )

Q: Let h(x) = f(x) %3D where f (x) = In(3x² + 2x + 2) and g(x) = -2x. What is h' (x)? g(x)' Select the…

A: We have to find the derivative of h(x).

Q: Suppose F(3) = 2, F(8)= -19, and F"(x) = f(x). —13, and G'(x) = g(x). Also suppose G(3) =0, G(8) = =…

A: use integration  for finding the values.

Q: r(x)=f(g(h(x)))，h(1)=2, g(2)=3 h'(1)=4, g'(2)=5, f'(3)=6, r'(1)=?

A:

Q: If f'(x) = 3x2 + 2x and f(2) = 3, then f(1) = (A) – 10 (B) -7 (C) 10 (D) 13

A:

Q: Find a function f(x) such that f'(x)% = - 3a? + 8 and f(0) = 1 f(z) = %3D

A:

Q: f (x) You are given h(x) = f(g(x)); p(x) = f(x)·g(x); q(x) = g(x) and the following values f(2) = 1,…

A: Given : hx = fgxpx = fx·gxqx = fxgx

Q: if f(x) = 3x+4 over 4x+3 then f'(x)=?

A: Given: fx=3x+44x+3 To Find: f'x=?

Q: Suppose F(7) = 3, F(10) = -6, and F'(x) = f(x).

A:

Q: dy %3D 1. If x'+ xy-3y' 10, then dx %3D

A:

Q: What is r' (x) when r(x) = In (x³ + 2x2 + 3x +1)? Select the correct answer below: In (3z2 + 4z + 3)…

A:

Q: If fx)=5x-1, g(x)=1/x, and h(x)=g(fx)), then what is h'(0)?

A: Given that h(x)=g(f(x)) Using chain rule we get: h'(x)=g'(f(x))f'(x) We plug x=0 So,…

Q: Suppose a(t) = (45/2)Vt + 2e -t, v(0) = -2, and s(0) = 7. Find s(t). s(t) =D %3D

A:

Q: 3-5x 11. Find f'(x), if (i) f (x) = (x² – 1)(x5 + 2)+/3, and (ii) f (x) (x3+2)1/3*

A:

Q: Find the second derivatives, f"(x) of O a) b) f(x) = 2x² + e²² F"(x) = 2e² (4x²+4) F"(x) = 4+e²²(x²…

A: dxndx=nxn-1dexdx=exd dx(a.b)=a.dbdx+b.dadxf(x)=2x2+ex2

Q: If f(x)=5x-1, g(0)=2, g'(0)=4, and h(x)=f(g(x)), then what is h'(0)?

A: Given that h(x)=f(g(x)) Using chain rule we get: h'(x)= f'(g(x))g'(x) We plug x=0 So, h'(0)=…

Q: 1. If h(x) = (f(x))² – (g(x))² , f' (x) = -g(x) and g' (x) = f(x), then h'(x) = (a) 0 (b) –4f(x).…

A:

Q: If f(x)=5x-1, g(0)=2, g'(0)=4, and h(x)=f(g(x)), then what is h'(0)?

A: Solution:

Q: If f(x) = 5x4 – 2x3 –x² + 3x – 1, then | f'(0) = d2 ;f(0) = dx f"'(x)= d4 ¡f(x)= dx

A:

Q: Suppose H(x) = f(g(x)) and %3D f(14) = 3 f' (2) = 13 g(14) = 2 d (14) = 4 Find H' (14)

A: Chain rule of differentiation:

Q: If f(x) = (2² + 5x + 3)“, then s'(#) - [ f'(x) -

A: To find the derivative of the given function, we need to use chain rule of differentiation and some…

Q: 2 If f(x) = (x³ +3x)“, what is f'(æ)? O f'(x) = (x³ + 3x) O f (x) = (x³ + 3æ) (3a² + 3) O f'(x) = 2…

A: Follow the steps.

Q: If f(x) = 5x4 – 2x3 – x² + 3x – 1, then f'(0) = d2 ;f(0) = f''(x)= d4 ¡f(x)= 4 dx

A:

Q: f(x) = x* – }x' – x + 2x –1 -

A: Given   f(x)= 14x4-23x3-12x2+2x-1has turning point at where the f'(x)=0differntiate f(x) with…

Q: x + x 3 Find the second derivative with respect to y if y: = x2

A: As per bartleby guidelines we are supposed to answer only one question per post. This post contains…