Video Discription |
100 derivatives for your Calculus 1 class. You'll master all the derivatives and differentiation rules, including the power rule, product rule, quotient rule, chain rule, and more. We'll also cover implicit differentiation, logarithmic differentiation, and finding second derivatives. Plus, we'll dive into derivatives of all trigonometric and hyperbolic functions, as well as their inverses. Of course, we will also have the definition of the derivative. #calculus #100derivatives #blackpenredpen #math #apcalculus
👉 Derivative For You t-shirt: https://amzn.to/3qBeuw6
👉 File: https://www.patreon.com/posts/files-to-my-100-95153770?
Check out my other "100-everything" series:
100 Integrals: https://youtu.be/dgm4-3-Iv3s
100 Series: https://youtu.be/jTuTEcwvkP4
100 Calculus 2 Problems: https://youtu.be/Kwyk_mteyNc
0:00 100 calculus derivatives
Big thanks to Mark Vinci for the time stamps:
Q1, 3:51, d/dx ax^+bx+c
Q2, 5:18, d/dx sinx/(1+cosx)
Q3, 8:31, d/dx (1+cosx)/sinx
Q4, 11:21, d/dx sqrt(3x+1)
Q5, 13:19, d/dx sin^3(x)+sin(x^3)
Q6, 16:48, d/dx 1/x^4
Q7, 18:53, d/dx (1+cotx)^3
Q8, 21:03, d/dx x^2(2x^3+1)^10
Q9, 28:39, d/dx x/(x^2+1)^2
Q10, 34:37, d/dx 20/(1+5e^-2x)
Q11, 38:10, d/dx sqrt(e^x)+e^sqrt(x)
Q12, 41:27, d/dx sec^3(2x)
Q13, 43:57, d/dx 1/2 (secx)(tanx) + 1/2 ln(secx + tanx)
Q14, 52:31, d/dx (xe^x)/(1+e^x)
Q15, 56:26, d/dx (e^4x)(cos(x/2))
Q16, 1:00:05, d/dx 1/4th root(x^3 - 2)
Q17, 1:04:04, d/dx arctan(sqrt(x^2-1))
Q18, 1:07:31, d/dx (lnx)/x^3
Q19, 1:10:25, d/dx x^x
Q20, 1:14:46, dy/dx for x^3+y^3=6xy
Q21, 1:21:35, dy/dx for ysiny = xsinx
Q22, 1:24:22, dy/dx for ln(x/y) = e^(xy^3)
Q23, 1:30:45, dy/dx for x=sec(y)
Q24, 1:35:59, dy/dx for (x-y)^2 = sinx + siny
Q25, 1:40:16, dy/dx for x^y = y^x
Q26, 1:46:31, dy/dx for arctan(x^2y) = x+y^3
Q27, 1:54:43, dy/dx for x^2/(x^2-y^2) = 3y
Q28, 1:58:03, dy/dx for e^(x/y) = x + y^2
Q29, 2:03:46, dy/dx for (x^2 + y^2 – 1)^3 = y
Q30, 2:06:51, d^2y/dx^2 for 9x^2 + y^2 = 9
Q31, 2:17:01, d^2/dx^2(1/9 sec(3x))
Q32, 2:21:35, d^2/dx^2 (x+1)/sqrt(x)
Q33, 2:26:33, d^2/dx^2 arcsin(x^2)
Q34, 2:32:04, d^2/dx^2 1/(1+cosx)
Q35, 2:36:57, d^2/dx^2 (x)arctan(x)
Q36, 2:39:49, d^2/dx^2 x^4 lnx
Q37, 2:42:34, d^2/dx^2 e^(-x^2)
Q38, 2:45:02, d^2/dx^2 cos(lnx)
Q39, 2:47:44, d^2/dx^2 ln(cosx)
Q40, 2:48:52, d/dx sqrt(1-x^2) + (x)(arcsinx)
Q41, 2:51:48, d/dx (x)sqrt(4-x^2)
Q42, 2:54:34, d/dx sqrt(x^2-1)/x
Q43, 2:56:34, d/dx x/sqrt(x^2-1)
Q44, 2:59:03, d/dx cos(arcsinx)
Q45, 2:59:56, d/dx ln(x^2 + 3x + 5)
Q46, 3:01:24, d/dx (arctan(4x))^2
Q47, 3:03:35, d/dx cubert(x^2)
Q48, 3:04:50, d/dx sin(sqrt(x) lnx)
Q49, 3:07:56, d/dx csc(x^2)
Q50, 3:08:50, d/dx (x^2-1)/lnx
Q51, 3:11:16, d/dx 10^x
Q52, 3:13:08, d/dx cubert(x+(lnx)^2)
Q53, 3:17:07, d/dx x^(3/4) – 2x^(1/4)
Q54, 3:19:54, d/dx log(base 2, (x sqrt(1+x^2))
Q55, 3:26:39, d/dx (x-1)/(x^2-x+1)
Q56, 3:29:28, d/dx 1/3 cos^3x – cosx
Q57, 3:32:08, d/dx e^(xcosx)
Q58, 3:33:55, d/dx (x-sqrt(x))(x+sqrt(x))
Q59, 3:34:40, d/dx arccot(1/x)
Q60, 3:37:50, d/dx (x)(arctanx) – ln(sqrt(x^2+1))
Q61, 3:42:22, d/dx (x)(sqrt(1-x^2))/2 + (arcsinx)/2
Q62, 3:47:30, d/dx (sinx-cosx)(sinx+cosx)
Q63, 3:52:45, d/dx 4x^2(2x^3 – 5x^2)
Q64, 3:55:06, d/dx (sqrtx)(4-x^2)
Q65, 3:57:27, d/dx sqrt((1+x)/(1-x))
Q66, 4:01:40, d/dx sin(sinx)
Q67, 4:03:00, d/dx (1+e^2x)/(1-e^2x)
Q68, 4:06:18, d/dx [x/(1+lnx)]
Q69, 4:08:19, d/dx x^(x/lnx)
Q70, 4:10:04, d/dx ln[sqrt((x^2-1)/(x^2+1))]
Q71, 4:13:43, d/dx arctan(2x+3)
Q72, 4:15:55, d/dx cot^4(2x)
Q73, 4:17:47, d/dx (x^2)/(1+1/x)
Q74, 4:20:44, d/dx e^(x/(1+x^2))
Q75, 4:23:13, d/dx (arcsinx)^3
Q76, 4:24:42, d/dx 1/2 sec^2(x) – ln(secx)
Q77, 4:27:08, d/dx ln(ln(lnx)))
Q78, 4:28:51, d/dx pi^3
Q79, 4:34:04, d/dx ln[x+sqrt(1+x^2)]
Q80, 4:37:52, d/dx arcsinh(x)
Q81, 4:46:55, d/dx e^x sinhx
Q82, 4:48:38, d/dx sech(1/x)
Q83, 4:52:51, d/dx cosh(lnx))
Q84, 4:56:21, d/dx ln(coshx)
Q85, 4:57:36, d/dx sinhx/(1+coshx)
Q86, 5:00:35, d/dx arctanh(cosx)
Q87, 5:03:54, d/dx (x)(arctanhx)+ln(sqrt(1-x^2))
Q88, 5:07:23, d/dx arcsinh(tanx)
Q89, 5:10:39, d/dx arcsin(tanhx)
Q90, 5:12:32, d/dx (tanhx)/(1-x^2)
Q91, 5:14:58, d/dx x^3, definition of derivative
Q92, 5:20:41, d/dx sqrt(3x+1), definition of derivative
Q93, 5:26:16, d/dx 1/(2x+5), definition of derivative
Q94, 5:31:18, d/dx 1/x^2, definition of derivative
Q95, 5:35:34, d/dx sinx, definition of derivative
Q96, 5:44:06, d/dx secx, definition of derivative
Q97, 5:54:41, d/dx arcsinx, definition of derivative
Q98, 6:13:26, d/dx arctanx, definition of derivative
Q99, 6:18:35, d/dx f(x)g(x), definition of derivative
Q100, d/dx f(x)/g(x), definition of derivative
Q101, d/dx tetration of x (i.e. x^x^x)
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